Tranny Recommendations for 600 HP

Hi everyone. I'm having my engine built now to 550 to 600 horse. I have a standard 727 tranny. Any recommendations on a rebuild, if I need it, or what I really need to get done to ensure it handles the extra horse. I was told I need a converter with 3000 stall based on my 3.91 gear set up. Any advice I can get on parts I need or suitable rebuild would be greatly appreciated!

Another consideration you should think about is the weight of your car. The TH2004R was considered a lightweight unit, and was never really considered a HD unit. Yes, any transmisson can be made HD, all it takes in MONEY. From what I've seen the TH700R4 is proving popular with a lot of the street rodders, but most of them don't have the HP you have. The 700 can be built up of course but again, money is involved. I've seen ads from various companies claiming they can make a 700 stand up to 1000 HP, but never say for how long. The 2004r and 700r4 were built by GM for economy purposes. Take one or the other apart and instead of cast parts, you'll see a lot of light weight steel goodies.
As others have said, the TF727 is probably your best bet, and with the HP you've got, gas mileage is not going to be the best no matter what automatic you choose.