Ha...funny to see little old Muscatine mentioned here. I'm from there originally and most of my family is still there. I didn't play pool while living there though so I don't really know much about the scene, I hear there is a place to play but I don't know a thing about it. Davenport is a very quick jaunt however and is probably a good option.
You'll also be about 20 minutes from Pat Diveney's shop, he might be a good resource to get some info on the local scene and he could probably put you in touch with some local players. He's an incredibly nice guy, I stopped by his shop a while back and I have a feeling he has a good read on the local scenes.
Have a Maid-Rite, stop down to Boonies and get some of their onion rings (they copied the recipe from a local drive in called the Cheri-Top and they are a Muscatine classic, though Boonies version is just as tasty and less greasy...plus you can get a quality beer while you're at it), and hit up the Yacky Shack for their dumplings.
It's a small town, not a whole lot going on, so you should have plenty of time to play if you find a good spot.