This is not what you asked for, but with a budget like that, why not get some good wired powered speakers for you TV and then a separate bluetooth speaker for your office?
For instance, these Monoprice monitors would work awesome with a TV: http://www.monoprice.com/Product?c_id=115&cp_id=11504&cs_id=1150401&p_id=605500&seq=1&format=2.
Unless you are doing serious critical listening in your office, I would imagine you could find a decent sounding bluetooth speaker for the difference, and you wouldn't have to haul it back and forth. Something like the UE Boom. Or, since you wouldn't have to carry it back and forth, that allows you to go for something bigger for your office that definitely wouldn't want to carry back and forth. For instance, these Presonus would give you stereo sound if you can set them up on either side of your desk/monitor, to give you better soundstage and imaging than you can typicall get with a portable bluetooth single speaker: http://www.amazon.com/Presonus-C3-5BT-Powered-Speakers-Bluetooth/dp/B00N55NS4W/