With your case, you have 2 options.
1. Use 120mm or 240mm radiator in the front.
2. Use 120mm radiator at the back.
For you, in your budget range, i'd suggest Corsair H80i v2 ($94.99),
pcpp:
http://pcpartpicker.com/product/9FgPxr/corsair-cpu-cooler-cw9060024ww
Either mount it as front intake or back exhaust. I'd go for back exhaust.