Grand Hotel Leveque is in a great location. Rue Cler is my favorite street in the 7th arr.
Hotel Amelie is a nice little hotel as well, just a couple blocks away.
You could also priceline something nice for under 100.
If you're feeling extremely cheap.. the BVJ Hostel is just a couple blocks from the Louvre. Under 30€ per night. I've stayed there on multiple occasions. I once even managed to have a room all to myself!
http://www.bvjhotel.com/pages/louvre.htm