Just pondering your situation. See my profile. Me--CJ guy.
Looking at exploded view of hard door (Chilton '45-'87. CJs and Wrangler).I see there is a plate (on inside) over door directly behind Outside handle--it wraps around rearward and sorta covers " latch" area too. Denying straight across access to outer handle.
Can you remove inner handle, (1)repair rod, loose or broken (2) Grab rod w/ pliers, pull it and open door?
This works sometimes to get open: IF inner handle " FEELS" like it is still connected to rod (not just handle spring tension). You OR Pal hold inner handle open. The other deliver a good swift kick (from inside) to REAR or door!
I HATE TORX Fasteners!--HAVE replaced most of mine w/ stainless regular hex bolts, got a trick for removal of tough Torx screws (before you break tool or muff inside of screw up). Last OPTION I HAVERemove door hinges to door. BEST ONES are probably the foward end of your hinges (less screws---- 2 top, 2 bottom) You might also be able to " BACK-HOLD" these inside the cockpit. ( IF Latch will allow itsself to be pulled free
at rear of door)
Have some manuals w/Wrangler included, can maybe offer more help/ how not to destroy your body / paint / etc. Let me know how you fare.
All my CJs have been soft top. This could never happen to mine!