Well wasn't one of them about Jack The Ripper for some reason?
What if it were the TOS Enterprise and Kirk’s crew stranded in the Delta Quadrant?
Enterprise D/Picard’s crew?
Defiant/Sisko’s crew + Garak and Quark?
NX Enterprise/Archer’s crew?
SNW Enterprise/Pike’s crew?
Cerritos/Freeman’s crew
Titan/Riker’s crew?
Personally I think Sisko and Archer, despite having the two ships least suited for long term journeys without resupply/repairs are the two Captains most suited for this scenario. I see Picard, Pike and maybe Kirk being unwilling to bend the rules enough or step outside of their boyscout duty duty duty mindsets.
Shipwise, I think Enterprise D or TOS Enterprise are best suited for long term, since they were designed with deep space exploration where contact with Starfleet command isn’t always an option. Defiant is a tough ship and would excel in battles where Voyager struggled to survive. But she’s the equivalent of an OP gunboat and it would be like trying to fly an Apache helicopter from the Middle East to the USA with no refuel or maintenance allowed.
Now, imagine all of the TNG era hero ships and captains are stranded together (I guess that includes Cerritos, technically being a late TNG period ship). Does Picard become fleet captain due to having the ship with greatest tactical superiority, and how does Sisko handle having to be under the command of the man indirectly responsible for Wolf 359 and his wife’s death? (I think Janeway and Picard would get along well for the most part).
I think Picard would amp up diplomatic efforts and try to establish as many alliances as possible with DQ races and cultures. Sisko would want to focus on getting back at almost any cost, and I think he’d butt heads with Picard while Janeway would serve as a sort of swing vote, sometimes taking Picard’s positions and sometimes Sisko’s.
The Cerritos would get the shitty jobs the other crews don’t want.
Quark would be great at helping Picard iron out diplomatic agreements most beneficial to the stranded Starfleet armada. Kim would have more routes and options for promotion and might even end up switching crews to serve on the Enterprise or Defiant. Chakotay and Sisko will initially be at odds considering Sisko was pretty pissed at the maquis in general. Garak almost immediately susses out Seska’s true identity and motives, and the Kazon never pose the same threat they did to Voyager alone. The stranded armada gets a reputation in the alpha quadrant and only the most powerful or bold alien cultures try to fuck with them. Hell, Data, Geordi, O’Brien, Jadzia and Data probably figure out a way home before the events of the pilot are over. For that matter, how do the Q visits differ if he knows his good friend Jean Luc is with the armada? Does he help subtly or consider this part of his trial of humanity?
What if it were the TOS Enterprise and Kirk’s crew stranded in the Delta Quadrant?
It would feel more like a Western. The Kazon are pretty much TOS era klingons already; the Orions would be the Maquis crew. Somehow Harry Mudd would show up. Seska would have been a Romulan disguised as a Vulcan.
Enterprise D/Picard’s crew?
Q would have rescued them to impress his boycrush Jean-Luc, but only after seven seasons of the crew pretending that they didnt want to be rescued, but this was a perfect oportunity to boldly go where no one has gone before. They would have spent the majority of the time having holodeck adventures, never going down to a planet when not cosmetically disguised as the aliens they're going to meet this week. Ironically Q shows up and they skip the Borg arc. This scinario doubly sucks for Obrien who after making it out of the delta quadrant in TNG, has to relive it all again in "Real Deep Space" 9. in a few seasons.
Defiant/Sisko’s crew + Garak and Quark?
The station is transported, so rather than destroying the caretakers array Sisko positions the station in a stable orbit between it and the planet. Obrien is able to integrate the power systems and figure out how it works so the caretaker's array is essentially the worm hole mark two. Gul Dukat was visiting along with Kai Winn so of course they try to creepy parent the Ocompa but Major Kira is there so she keeps them both in good check. Sisko now has to juggle being the Emmesary to Bejor and the Caretaker of the Array. This is still the best show. They keep finding other changlings around Odo's age who have never known the great link, and in this scinario neither does Odo. Quark becomes the Neelix character, but is actually pretty good about it because he's less insecure and actually a people person; the Kazon continually capture Quark and Odo usually insists that he's too big a security risk to let go. Everyone constantly expects Garak to betray them, and yet continually proves to be the paradoxically most loyal member of the crew. Garak and Odo bond over being the black hats of the crew being able to go outside the rules of the federation, and Sisko knows when to look the other way. Seska turns out to be that one dissident Gul Kamara's long lost daughter and she and Kira become "close" and share the first ever on screen girl girl kiss in Star Trek. Garak and Bashir have a romance. O'Brien continues to suffer at once having an edge in the Gamma Quadrant because he's been here before, but now having to do it knowing that Q wont show up to rescue you at the last minute, Commander Edington betrays the crew to the kazon and Sisko wastes no time going after him, but its a bold move to the kazon who end up giving Edington back to Sisko the series runs for 14 seasons and there is much rejoicing in the land.
NX Enterprise/Archer’s crew?
It's been a long road getting from there to here. This actually turns out to be a holodeck program by Riker, made when the enterprise D also got lost in the Gamma Quadrant. That's why it only lasted five seasons.
SNW Enterprise/Pike’s crew?
Havent seen this one yet.
Cerritos/Freeman’s crew
This would be pure cartoon chaos and I would be there for it. I think this needs to be a season arc on the actual show.
Titan/Riker’s crew?
Riker would finally reveal he's still been secretly Q powered still this whole time and just nopes them back home.