Instead of soundbar, simply try the F&D 2.1 speaker set for 5K or so. The new one does FM, Bluetooth and plays USB. Or go for a full fledged Hometheatre for a little bit more cash. Soundbars are aweful lot pricey lifestyle stuff !
Do check on the Philips Fidelio soundbar...it has detachable wireless surround module and will be close to your budget.
In effect it is a soundbar cum true 4.1 surround sound system.
Excellent reviews online aswell