I 2nd what Trackman said, i used ot live in coventry, now in nuneaton..
Its got a bad rep for some reason, but i bet those people who say stay away, if you ask them have they had issues then they would say no, but i know a man who has!!
Spon street is worth a look, i think the oldest pub in coventry is there and they serve good ale!
Dont pay to get in the new cathedral, the old one that bombed in the war is better and free.
If you go into the city, stand outside the huge primark and look for the clock, on the hour lady godiva and peeping tom come out, still makes me chuckle when i see it!
Transport museum is good.
I am not sure i would want to stay there for 2 days though, not that much to do, maybe head in, have a look around, then head back out to either bedworth or nuneaton, you can get the number 48 bus back into coventry easy enough from both those,