Not at all preposterous.
While I have a fairly pricey main system by most standards, I have set up a second system (bed room), third system (beach house) and fourth system (Dad) all for total budget of less than $2K -- in some cases less than $1500 -- that all are quite pleasing to the ear and the challenge was fun. The key is to buy used (at least for some of the system) here on Audiogon, and do your research carefully (start with professional reviews and questions about specific models here).
There are lots of speakers that I could be happy with in that price range (both used and new), in fact it is hard to choose, which is why I'm not offering specific suggestions. Based on availability, aesthetics, room, etc. I ended up with different speakers for each of the above mentioned system and they all sound nice.
Good luck.
--dan