I haven't got much to add over "what set" other than what you have already. I too suspect that Apaches is what you need - that's what I'd want to put in there... but I don't really know much about the 57 or 63 sets either.
I do wonder whether Mother's Milks might be a little bright in an Ash/Maple strat - I suspect they would be for me. They are apparently the brightest, but I've not actually tried them.
On the "tele in a strat" tone. I'm not sure how close you can get to it (even with putting a tele bridge pickup in), acoustically my strats sound like strats and my teles like teles - so I always tend to think it might be asking a bit much of the design :lol:
However, liek Telerocker says, you can get a base-plate installed on strat pickups. Lots of people seem to go for this option on the bridge pickup in strat sets because they find strat bridge pickups almost unusable on their own. It apparently pushes it more into tele territory, adding a bit more body to the existing strat bridge tone. I used to find strat bridges a bit hard to get on with myself. But after I got my first BKP strat set without a base-plate (I have ITs, Apaches, and Sultans), I found I use the bridge alone an awful lot - and that applies to all three sets.
And I have to say I find the Apache bridge (no plate) rather yummy, I personally wouldn't want to mess with it
Actually, I can add that out of the three strat sets I have, the Apache set is the one most capable of getting nearer to tele bridge tone (I have the old Blackguard Flat 50 sets in ash/maple teles and Yardbirds in alder/rosewood to compare it to). My experience seems to be that tele bridge positions kick out a fair bit more than strats do, though. I can play my teles through the same amp settings as humbucker guitars and not feel too confused. If I plug a strat in, I have to push the gain up a bit if I want the same raunch. If a base-plate on a strat does that, then it could be what you want, but for me it would mean I'll have lost my strat bridge tone! :lol: