Remember that all of the decent restaurants and bars are in hotels or malls anyway, so don't stay anywhere which doesn't have them on tap.

The Madinat Jumeirah complex is an outstanding resort which has the great benefit that you never have to leave! 2 five star hotels plus some villas, quarter mile of beach, over 100 shops, well over 50 restaurants / bars, clubs, more pools than you could ever use ... a truly outstanding place, albeit not cheap. The Burj is also a 10 minute walk down the beach so you get to see that as well, and the new mega-mall is a very short cab ride away.

However, you're spoilt for choice in Dubai in general. Hyatt is currently running 'Faster Free Nights' again (do 2 paid nights and get a credit for another free night at any Hyatt, anywhere in the world) so 2 nights at one of the Dubai Hyatt's could be rewarding. Alternatively, think about looking for somewhere with a guaranteed late check-out as your return flight is so late.