Hate to be that guy who suggests going HTIB in a soundbar thread, but...Onkyo and Yamaha make some decent 5.1 sets for at, or around your budget. I understand the need to eliminate the wires and clutter sometimes, and go the bar route.
I owned both the Vizio 510 and the JVC BA-3 at the same time , and the JVC was slightly better if I had to pick a favorite. The JVC was plagued with a volume jump defect that was even worse than the annoying Vizio led problem. Ended up returning both in the end to look for other options.
For 3.1 I would suggest the Sony ct-350, which I went to after returning the 5.1 systems. Very solid sound and sleek design.
Ultimately i went full 5.1 seperates.