Tyler, if you study any of the Ju arts you should be alright. Always check with your doctor first, based on your specific medical history. Both Ju do and Ju jitsu are fairly low impaact. Ju do you have a few throws that might cause problems, and Ju jitsu is mostly graple, joint manipulation and chocks.
Been in the martial arts all my life, these are ones that I did for multiple years:SystemaMuay TaiSavate-(only one I didn't maintain)Brazilian JujitsuPanantukanJeet Kune DoKali EskrimaMande Muda SilatWing Chun
Yes, some of them are wrapped into JKD. Wing Chun is a huge base fro JKD, that is where the majority of the "trapping" comes from. Of course you have kick boxing and the such included. I could give you much more detail if you like, just didn't want to write a novel for this response Let me know if you're curious about any of the ones on the list.