I don't know what your definition of "not too expensive" is, but here's a few to consider.
http://www.musiciansfriend.com/product/Guitar/Electric?sku=516680
http://www.musiciansfriend.com/product/Guitar/Electric?sku=516662
http://www.musiciansfriend.com/product/Guitar/Electric?sku=513072
http://www.musiciansfriend.com/product/Guitar/Electric?sku=518187
http://www.musiciansfriend.com/product/Guitar/Electric?sku=518183
http://www.musiciansfriend.com/product/Guitar/Electric?sku=511579
http://www.musiciansfriend.com/product/Guitar/Electric?sku=519894
http://www.musiciansfriend.com/product/Guitar/Electric?sku=519983
http://www.musiciansfriend.com/product/Guitar/Electric?sku=519966
there's a variety of brands and price ranges (as well as wood selections, pickups, and the like.) I think almost any of these would work well for what you want it to do