Hmmm. I've had more problems with SJs being inflexible than SPs. Have you talked to your friend about this issue? Don't think I'm trying to tell you to do it, 'cause I have a ISTJ friend who I just don't feel comfortable telling when I go along and do things I'd prefer not to with her. Nothing against her, but I just don't feel I can.
Ironic, 'cause my number one problem solver is communication.