If music is important to you I would and have avoid(ed) tiny bundled speakers, such as the ones that come with HTIBs.
Your budget is pretty low to be able to accomplish both a competent music and HT set-up all at once. You will really need either floor standers in the front or decent sized bookshelves and a sub.
I would (and did) start with a nice pair of floor standing speakers or some bookshelves. Check out Accessories4less there is a pair of Boston floor standing in white that is pretty cheap. Then pick up a receiver. I always recommend the Denon 1612. Plenty powerful and has room correction. for $200 at A4less. Then as you can fill in the center and the rears (these can really be any matching set small or large as they only really play back ground music and infrequent surround effects) from any used classifieds or open box at the big box store or some garage sale finds.
Its not as neat and tidy as one box with a bow on it but you will get a better end result.