While there are Nvidia 710's that may fit the problem is you will have to ignore the power requirements. Folk have installed this is such low power desktops and report it works but in no uncertain terms will anyone warrant it or tell you it's OK.

Let's compare the i5 video with the 710.
notes about 2X the performance or higher.

http://www.geforce.com/hardware/desktop-gpus/geforce-gt-710 on the specs shows 19 Watts TDP so that would be my choice as it's a short height card.

Now all you need to do is check the slots.