4l80 will just bolt up to the T-case if the T-case is already behind an '85-later TH400. They use the same round bolt pattern after 85. You will want to get a 4wd 4L80 and get the adapter that was on the 4l80 at the same time. Honestly, most people just get a decent junkyard 4L80 that doesn't have burnt fluid for a few hundred bucks and send it. There are guys running straight from the junkyard 4L80's behind turbo LS's for years with no issues. I decided to rebuild my donor because it had 288,000 miles on it behind a Gen VI 454.
It cost me ~$750 for ALL new frictions, plates, bushings, bearings, pistons, sonnax no walk bushing, sonnax lube regulated pressure valve, Transgo TCC and AFL valve kit, internally dual fed the direct drum, and reman torque converter. $10 for a new 2wd output shaft because my NP205 is a figure 8, and $20 for a rear drum reluctor gear to drive the OSS sensor. I also needed a $250 3/4" adapter plate from Northwest fab because I needed to use my original figure 8 adapter. You shouldn't need to do any of that adapting because yours is newer.
The biggest issue is going to be controlling it. You can do a full manual conversion for next to nothing electronically. You can actually buy a harness/box for under $50 to do that, or just build one yourself. There are various instructions on how to do that online. There are also various electronic controller out there that can do the controlling for ~$500-1000 dollars and are pretty good. Best solution would be a GM controller and wiring harness from an LS engine with a few required inputs. Namely TPS and RPM. It will behave even better if you can give it a 4wd lo signal and MAF signal, but that is harder with a carb setup.