Going by what you listed there, a Strat is probably a good guitar to be playing, but you may end up changing your mind.

My advice is this: Never buy a guitar or amp you haven't played. Poke around the "used" section and try things. Since you're not looking to play out at any point in the near future, then you have no need to get either a new guitar or a new amp first. This means that you should just play stuff until you find something you really like. If you find an amp first, then get that. If you find a really nice guitar on the other hand, buy that.

You have a guitar and an amp to play on for now, so take the time to find a very special instrument and amplifier.