Mid May is when all the college graduations are, so they are especially high during that time frame.
Specifics: What is your budget and how many are there of you ? Any other needs ? If you want to post your exact dates, might be able to offer something specific.
Assuming you are talking about the Adams Inn/Best Western, it does look like they offer a shuttle, but your talking really outside the city with possibilities of traffic in/out of city.
Cheers.