ANYTHING you can get single graphics card wise the 4440 will handle. A 280,280X, all the way up this chart to the top.;
http://www.tomshardware.co.uk/gaming-graphics-card-review,review-32899-7.html
The only limit is your budget.If you run one monitor at 1080p and one graphics card, you've cracked it. Multi card super hi or multi minitor set ups really require unlocked chips and overclocks in some situations.
Your cpu will handle anything on that list and give reasonable frame rates at ultra settings.
It helps if you consider the GTX 980 as a baseline. A 750 T.I. is 1/4 of a gtx 980.
A gtx 960 is half a gtx980.
Anything lower than a 980 is holding your cpu back,anything higher than a 970 is a waste for 1080p 60 htz monitors,even using texture packs.