Tricky.... how cheap is the strat copy?
My suggestion for any beginner guitar is a squire strat - I think they're great for the money, and I've still got one I keep in the back of the car in case of guitar emergencies!
Only reservation is he already has a strat style guitar (and it might be a squire already too!), so it's not very exciting. The BC Rich's seem to be popular with the kids because they look proper 'rock'.... but you can't really play them sat down, and they're not the best - looking cool is all they do, if you lik that sort of thing.
Maybe a squire tele, so it's different from the strat he has but still a decent instrument. Legend has it that SRV used to play squires alot, but had the decals swapped for Fenders to keep Fender happy - not sure if it's true though....
I don't know the US guitar market but unless you look at used kit (which might not be a bad idea) I don't think you'll do much better than a squire for $200 down... I just looked on ebay and saw an Ibanez RG320FM to go in a couple of minutes for just over $200 - that might be a step up, and rock and roll enough to impress the lad....
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