I'll give some credence to the other side - just for sh!ts and giggles...
While a rotisserie WOULD be nice, not everyone has one, can find one or wants to build one - so, YES, you can do this without. Put it on nice high jackstands - 6 evenly spaced will eliminate any flex. Besides, it won't flex much (if at all) just doing a quarter and trunk floor. One thing I'll STRONGLY suggest is to take MANY pics!! Digital hopefully. Every item you take off should be photo'd. I took quite a few, but missed the wiring covers inside the drivers rocker and now can't recall where they weld on!!! (see my thread on that question!). Pics of the engine bay, etc., BEFORE taking anything off, plus more as you go.
If it where me, I'd start by taking the quarter and trunk floor off. Find ALL the spot welds and either use a SW cutter or a 1/2" drill to cut 'em. The cleaner you get all the spot welds, the nicer it all turns out. When you are replacing the sheet metal, make sure you spend a couple DAYS fitting and aligning. Put the trunk lid and rear valence back on to help line it all up. Hold it all with Vicegrips, sheet metal screws, etc., and then check your door, trunk, valence gaps, how it fits to trunk drop off, wheel well, etc. Then put just a few tacks at first to see if it all stayed straight before welding it all up.
You can do the hump before or after - it'd all be stripped anyways. Also be sure to TAG and BAG every last piece - oh and did I mention photo's??