Originally Posted by EbbTide

It's not $60 but the best bang for your buck servo I know of is the xpert 4000 series with the orange case. It's more than enough torque and it's very speedy for the price. Plus it can run low voltage so even if your ESC has a weak BEC, you won't need to worry about brownouts.

You can't really get all of your requirements in a $60 servo unless you go off brand.