Yes, TH350 is short so to speak for a Turbo 350 and this will be the most direct replacement for the ST300 2 speed you may have now. Same driveshaft and yolk, cross member should work etc...
You'll have a different kick down set up (cable style)from the 2 speed (electric switch like the TH400), but that can be figured out later... no big deal.
Just make sure the replacement is a BOP (Buick/Olds/Pontiac) tranny, as they will be direct bolt ins, where a Chevy TH350 will have a different bolt patern....