An LS swap is hard enough! Anything is doable, but Im not sure going to a carbed SBC is worth the trouble.
@GTSDart340 mentioned you wont be able to bolt up your AR5 transmission. That manual was all you had going for you, LOL, as getting the auto to talk to a foreign system is tricky. IDK about adapter housings, so I'll have to take his word on that.
You would have to run a direct power for the fuel pump, as you will be basically bypassing the PCM. The PCM wont power the pump if it doesnt see an engine and transmission. It gets MAD! You will have to run a cable gas pedal for your carb. Separate gauge pods. For the Transfer case and 4x4, you may be able to trick the TC switch and actuators with a series of toggles.
It sounds romantic to go completely old school, but without the PCM and BCM communicating its really hard to have a practical and functional vehicle. Even on our rudimentary computer systems. Now on an off-road project where it is just going to be bare bones with no fancy stuff like working gauges and interior lights, you may be able to make a machine of it. You may be able to run the exterior lights and radio off of a 12v switch panel
Honestly the chassis fabrication will be the easy part. Its the electrical that is scary in this scenario.