I'm am looking for a budget gaming monitor for 1080p resolution and preferably with a Vesa mount. I don't care about the speaker quality.
I was thinking about the Asus VP247H
You won't find a good gaming monitor with that budget. This is an IPS display with a decent response time and a VESA mount.
If you can go out of budget a bit here are some... http://www.newegg.com/Product/ProductList.aspx?Submit=ENE&N=100160979%20600415693%20600012673%20600417886&IsNodeId=1
I haven't personally owned an AOC, but I have heard relatively good things from them. They're on the cheaper side, but from my understanding they aren't horrible. Just Chinese made, nothing special.