Yes the trans will fit, definatley get the crossmember from BowTie Overdrives along with some of their other goodies. I'm doing a 383 install now, have the HH-sidepipes, I already had the crossmember and got the braided lines, 2400 stall convertor, new speedo gears and TV cable setup.
I have 3.54 rear gears and took a trip from Florida to Kentucky with that lunatic Brutus, got 20+ mpg and I know he was speeding while I was sleeping.
Now that I think about it, does the 76 have the solid crossmember? If so it will probably make the job a bit tougher but I would imagine it would still fit. Call BTO, they are great to work with. The other thing you will have to do is to either cut your driveshaft 3" or get another one made.
One other thing you might want to look into is getting the heavy duty U-joint caps from Van Steel, they are CNC'ed out of a solid block and replace those cheap stamped ones. You'll have to drill & tap for bigger bolts but this should beef up your driveline nicely with the increased HP you are getting.