There are big differences between parts of US.
It's all expensive, but some places are relatively cheaper.
Hm. Gordy's picture is normally right. I guess I have an exception to rule right now.
BUT, if you need student visa, you're likely to need one of the bigger part 141 schools that do M1 visa. If you got funds for the whole lot and are sure this is it for you, you can try Hillsboro Aviation in Oregon or Bristow Academy in Florida, on F1 visa, with 'chance' to fly as instructor afterwards. They're quite busy and not cheapest, though. Both good quality places, for sure, but busy busy.
EDIT: Oh, BTW, Mauna Loa Helicopters now also have F1. It seems easier to sort it now that 2 year aviation J1 is over/gone.