Check out these links, they give a pretty good comparison of T56 transmissions and power applications. Most guidance I've heard says to stay away from the 93, the 94-97 is way better.
http://www.5speedtransmissions.com/6_speed.html
http://en.wikipedia.org/wiki/Borg-Wa...6_transmission
http://www.ttcautomotive.com/English/products/t-56.asp
Looks like you started with a good choice, do you know for sure it will work with your existing bell housing/clutch set up? Or will you be replacing that also? Gonna stick with mechanical or go hydraulic for the clutch?
You might need to figure out what type of clutch and bell housing you will be using before you get it repaired, as that might impact your input shaft choice if it needs to be replaced.
I'd suggest taking it to a good shop that specializes in T56 rebuilds and having it torn down and checked. There are a few parts that need to be beefed up, and that transmission will take more abuse than the 450 ft/lb of torque from your Big Block with just a few parts swapped out.
I had some of the same questions about reliability and strength behind a modified engine. When I bought my donor 1999 Camaro with an LS1 and T56, I asked around at several places that did 6-speed swaps and LS engine swaps into muscle cars and was told that I needed to go to one shop in the area if I was going to get that T56 transmission rebuilt. I got the same recommendation for one shop from 5 different sources. I was told that there were lots of transmission shops that could work on any type of transmission, but if I was going to subject that T56 to any abuse I needed to go to one particular shop for internal repairs or upgrades.
I did take it to that shop and I'm glad I did take it to that shop and had it torn down and rebuilt. The owner of the donor vehicle had told me that the transmission and clutch had been rebuilt/replaced 20,000 miles before the car was totaled. When I separated teh engine and transmission I noticed the input shaft had some pitting and heat color, so I took it in to have it checked out. One set of synchros had been replaced the others were original, and gone. The other shop did replace some of the parts, but not with the parts I would have needed for a modified engine. And the input shaft and bearings needed to be replaced because the pilot shaft bearing has went out and chewed up the input shaft, and instead of replacing it, the other shop dressed it up and reused when it should have been replaced.
I don't have any experience with any of the sponsors to this site, I'm pretty sure one or more vendors here can do the same, you just might need to do some shipping if you go that route.