I don't know specifically about Tunica, but just up the road is Memphis and there are two houses with quality leagues in each. Winchester Lanes is in downtown Memphis and draws large numbers, Bartlett Bowl is on the Northeast side of Memphis and draws pretty well. There is a very good scratch tour in Arkansas the site is
www.asbtbowl.com they run monthly scratch tournaments that draw very well. Some of the sites in ASBT are fairly distance from Tunica, but others are just a few hours.