+1 for the G3220. I'm holding out for it as well.
There may not be much of a difference between the G2020 and this one, but I've been hearing good things about the Intel HD Graphics 4400/4600, so the combo will be great. Considering your budget, onboard gfx is what you'll get and this should make it worthwhile.
if suppose G3220 is available than which motherboard goes with it ? (VFM cheapest)