Generally speaking, based on your numbers I would say a 5x5 might be better. However, you are a tough case because of your injury. It sounds like you have an injury that is truly worth being concerned about.
Either way, to do 5/3/1 you will need to squat, deadlift and OHP as will a 5x5. Are you capable of performing these lifts?
Furthermore, I personally am not the biggest fan of stronglifts 5x5. I think there are better options. Although, to be honest, I've never done it, so my opinion is based on the program and the community surronding the program. I guess it's just my personal opinion.
"The fastest way to get strong muscles is also the fastest way to make them bigger. We know what works best to make them strong in the shortest time possible. If you want to get big, do the thing that makes them strong." - Marc Rippetoe
Zdravko Veselin Gaeta
I am not a powerlifter nor am I a bodybuilder. I just want to be big and strong.