I live here. If you stay in Independence you are going to need a car or an uber ride as RTA doesn't go there. Not a far ride at all though and considerably cheaper.
No way in hell I would get a hotel. Look at VRBO, Airbnb, HomeAway, etc. I would guess that there are places at Grand Arcade and Water Street that would be absolutely perfect for the weekend. Possibly even something across the bridge in Ohio City. Just be aware that that area can be a little dicey depending on which block you are on.
As someone else mentioned, the airport isn't a bad option at all because of RTA. If you are looking on the E side and considering RTA, just know that route goes through some pretty rough areas. It's not an issue for just riding the train but you don't want to be staying at a hotel in some of those areas.
If you have any other questions about the area, just tag me.
Here you go...
https://www.vrbo.com/vacation-rentals?q=Cleveland, OH, USA
This is definitely Water Street...I used to live here before heading for the burbs. Warehouse District and four blocks from the Q.
https://www.vrbo.com/3894926ha
Grand Arcade. Great Location as you are right at the edge of the Warehouse District and about four blocks from Q.
https://www.vrbo.com/968828