I know its a bit over your budget but it would be worth it Radeon RX 480 $229.99

Its not super high end or fancy but you will play everything including this game guaranteed. Its probably one of the best budget cards.

You can also try out:

GeForce GTX 1060 $199.99

GeForce GTX 960 $179.99

But I would not go any lower then that.

A geforce 950 would be around $150