From 2:15 p.m., Blue Bell Creameries will dispense free ice cream; the Arkansas State Society of the Daughters of the American Revolution will hand out free U.S. flags to the first 250 guests.

For as many delicious ice cream flavors as Blue Bell has on shelves, there’s an even longer list of retired flavors that fans regularly beg the brand to bring back. Signature tubs like Homemade in the ...