This question comes up atleast once a month with the amateurs or people that dont know better. The main problem you will have will be stalling anytime the clutch is pushed in. The problem stems from the fact that the computer senses the load placed on the engine by the torque convertor. Many guys have experience stalling when first started with higher stall/lighter convertors. Talking to Joe Lubrant awhile ago about this this I it was explained that removing the load of the torque convertor does many things to the engine controls. Basically the computer does not know when to idle the engine because there is no neutral sensing circuit. You could play around with IAC settings in your chips. It really is a trial and error affair to get it right. Your other issues will be getting a flywheel for a Buick V6 and then getting the adapter plate to bolt a T56 to the Buick block. No, the TCI Chevy to BOP adapter wont work as it is for automatic transmissions. Using it can and will throw off the input shaft alignment causing many destructive problems such as wiped input bearings, worn thrust flanges in the crank, hard shifting or jumping out of gear. Besides the fact that you will have a shallower engagement into the pilot bearing in the back of the crank. You WILL spend more than a bullet proof TH2004r and will also go slower. Check the archives on this subject and you will see. If you want a stick, you picked the wrong engine to do it to.
If you want a reason, ask me, I have a stick behind the Buick engine in my Corvair and have gone to great lengths and expense to do it. Why? I had no other choice of transaxle for this car. Take it from someone who knows. You will be sorry you ever undertook such a project.