Just a thought. But there are other exercises.
I used to love to jog, but then gave it away for cycling and swimming. Both of which are alot more low impact.
I hurt my knee and during rehab started swimming (I really couldn't swim at all and had a slight fear of water) and cycling.
If you'd told me before the switch that I'd enjoy the two more than running I would have thought you were crazy.
Failing my attempt to convert you to the dark side you might want to consider running on sand if that's an option at all. Some horse racing tracks let you jog around their sand track or the beach is also good.
Just in case you're not aware of this but there is a big difference between running shoes and cross trainers.
Stupid suggestion 18,504, some people naturally run like a sprinter, though most run like a distance runner. The difference being sprinters tend to be more of a front foot based landing where as distance runners are back foot transfer landing transfering to front foot.
If you watch people run about 1 in 20 (at a guess) seem to run strangely and generally it's because they're running like a sprinter.
Also be very, very careful running down hill. It's very easy to over extend and do yourself an injury. Special forces soldiers have this drummed into them, the decent is more dangerous for the reason above and you tend to relax too much and let your momentum take you down the slope.
Last option is you could take up, dancing.