Transmission options and opinions

I have my original 904 transmission out of my 69 Barracuda that was pulled about 25 years ago that has about 100K miles on it. I am now rebuilding the vehicle by replacing the 318 with a 340 producing about 350 HP, a sure grip 489 case rear with 3.55 gears, and 8" wide rear BF Goodrich TA's. My intent is to drive the vehicle on the street with perhaps an occasional 1-2 times/year to our local strip for fun. I thought about an aftermarket transmission, but after reading the info about TCI and some of the other nightmares others have experienced I am thinking perhaps I would best be served by having the 904 rebuilt (at least I know this devil.) So, if there is a highly respected aftermarket transmission out there who makes it? If I have the 904 rebuilt what should I be asking for in the rebuild from the rebuild shop? Also, should I replace the stock converter too and if so with what? Thanks for the help.