You know what.... knowing what you have is important. I vote TX.
A grand is a lot but extra transmission work is too.
If I were the seller of the car the local guy bought, I would've made sure to name the shop and say when it was rebuilt, if not have the receipt because it adds value. Seems strange he doesn't have info.. You don't know the quality of that local rebuilder. And you don't know how much was done or how in depth parts replacements were.
With the TX one you know it's zero miles on the new parts. You know what the parts are. You know who did it, and their reputation. You've got a receipt to show the appraiser/insurance to bump the car value higher.
A grand is a lot, but pulling the trans again is a real pita not to mention extra costs to fix something. And, like I said, documentation in your hands is BIG and only raises your value if something happens to the car.