If I were you, I'd go with whatever guitar moved me more. It sounds to me like you really like the Schecter, so that's probably the way to go.

If you decide to get a Strat, however, I think the American Deluxe (or any Strat with the Noiseless Singlecoils) will be much better suited to your interests. Especially when you're playing the Ska stuff -- with the Mids cranked up on your amp and the neck pickup selected, Noiseless Singlecoils are unstoppable for Ska.