Cool. There are a number of Soundbars that do Bluetooth, and in that price range, that's probably the best you're going to get. WiFi capable soundbars survive on the interface that handles the content, and there really aren't any good ones in the price range. You're looking at about $500 and up....
So what I would do then, is buy the best sounding Soundbar in that $200 price range and purchase a streaming device to go with it - I would recommend the Chromecast at $35, but Apple fans may want to get an Apple TV at &149 (though the old one works too at $69).
The best soundbar at that price is the Vizio S4221W-C4, if you can find one. Vizio replaced this model with a much worse sounding version that I won't recommend, but if you can find one in a Box Store, then grab it immediately.
An alternative that I almost tried was the Sony HT-CT260H, which has it's own HDMI port that I was going to plug a Chromecast into for streaming music. You'll need to plug into a TV to set it up, but after it's setup I assumed it would work as a music only device that you would control through a phone.