Looking around a bit more. Here's a couple more things...
Blossom Music Center in Cuyahoga Falls(maybe a half hour away), will have Rascal Flatts and Cheryl Crow on August 1st. It's a pretty cool outdoor venue...
http://www.theblossommusiccenter.com/events/
The first round of The Bridgestone International starts that Thursday at the Firestone Country Club. Also about a half hourish outside of Downtown..
http://www.worldgolfchampionships.co...itational.html
Bunch of different type things listed on this site...
http://www.thisiscleveland.com/event...bmitBtn=Search
I'd also recommend picking up a copy of the "Cleveland Scene" while in town. They're free, and all over the place. Can't name any specific places off the top of my head though. Usually good weekly reviews, articles and ads for restaurants and things going on during the week and beyond. Here's a link to their website...
http://www.clevescene.com/