Trail Map At just under 50 acres, Rapid Run Park in Price Hill has rolling hills, paved walkways, a playground, and several picnic areas. The park’s stone shelter offers a view through its arched windows of a picturesque shallow lake, one of the best spots around to launch your toy boat. There are baseball diamonds that are kept available for impromptu games, and woods for lots of shady picnics under 45 species of trees. The park was originally called “Lick Run Park,” in reference to this area’s original Native American and early European settlers’ traveling up “Lick Run Valley,” which is today Queen City Avenue.