This isn't my genre, but I seem to recall some type of Fender amp being popular, like a Twin Reverb. I think they have that tremelo effect built in. They are expesive though. Perhaps you could get an amp simulator (Line 6 POD, etc) that could emulate one.

Telecasters, like Strats, are pretty versatile. Don't think you can go wrong with adding a tele to your herd.