All highs, no lows, gotta be Bose
The correct way is "No high, no lows, gotta be Bose"

No mids for that matter....
no sound output whatsoever!!!
Anyway, my advice is to steer clear of HT in a box setups. Even if it means saving an extra year for a real setup, it is well worth the extra money. I've heard several HTIB's and they are all underwhelming I'm sorry to say.
Your $200 budget should be for your front left and right speakers alone, and about equal or 2/3 that for your center channel. You can skimp slightly on the rears but keep them in the same brand/model line so they sound the same. Subwoofer should be $300 minimum IMO. Anything less and you either get a small sub with a pitiful driver that pumps way too much wattage into it...resulting in boomy and undefined bass or you get a sub that simply has no meaningful bass output.
You can probably get a decent receiver for $300 US...check out Onkyo, Denon and Yamaha. DVD player is pretty standard nowadays....$100 gets you a nice progressive scan player easily.
If you WANT to go HTIB no matter what, the only half decent system I've heard was by Panasonic. I've also heard Pioneer, Koss, and Sony and they all stunk IMO.