If you just want to play TMNT you don't even need analog stick controllers. I've been playing it with my NSO SNES controller.
With that said, you might want to look into the 8Bitdo Lite Bluetooth Gamepad for Switch at $25. It has the analog sticks replaced with traditional d-pads. Which is weird looking but good for TMNT (I believe you can swap functionality with a button combo, too). If you are okay spending $30, then I recommend 8Bitdo's M30. Which is a take on the Genesis 6 button controller. I like playing TMNT with that the most.