Having owned a few '80's Fullsize Chevys and a Ford - all 2WD - I'd highly recommend that if you're not truly going off-road, you'd be just as good in a RWD tee-ruk with really good tires.
I have turrible, rock-hard, dry-rotted PepBoys specials on my '82 Ford F100 and could barely get out of my driveway when it snowed last year. Loaded up the bed with shoveled snow and was able to get most anywhere I needed to go. http://www.columbusracing.com/forums/showthread.php?t=116517
Now, I'm getting new M+S traction tires and anticipate even better all-weather performance this year.
Considering I use my tee-ruks exactly how you describe (includes towing my old Corvette to FL/PA/GA etc when I had it), you don't need 4WD at all.
Look at an older 3/4-ton 2WD truck with an 8ft bed and be done with the search. You'll already have any tools you need to fix it, and the parts are super cheap. Love my beater tee-ruks.