There is a formula 1 hotel within walking distance of QCC and the Jet base. It'll be your cheapest option but it is an 'interesting' place to stay.
A slightly more expensive option would be the Ibis. A bit more of a walk from the terminal but closer to QCC. About equi-distant to the Jetbase as the Formula 1. If you can afford the extra $50 or so, go the Ibis.
Good luck with the process.