Nik,
That price range is going to be tough. What you may want to do is get some quality practice pads and sticks and get started on rudiments. Once you get those down and show the interest is still there, then you may want to invest in a full kit. If you are cocnerned about noise than an electric kit may be the way to go and those start at about a grand unless you go use of which you can pick one up for about $300 to $500 pending brand and what comes with it.
If you want an acustic kit, look for a used higher end one. I own a MAPEX M Birch and it cost me without cycmbals new $1,200 from Musicians Friend, then add cymblas and added hardware I have put in total about $2,500.
Ken may chime in with some specific suggestions.