There have been some midrange F-class shoots in Memphis.
You will probably have to call, they seem not to have kept up a www calendar.
Steel City in Birmingham shoots a local variant. With no target pits, you get two sighters on a gong and 20 for record without further spotting.
Way down in Pascagoula they have midrange and long range prone matches, which usually provide for F class alongside the service, match, and Palma rifles.