I think one of the smartest things the Jags can do, is "regionalize" their market. Unlike many metro areas, Jax doesn't have any large areas within 90+ miles of this place. If the Jags represented Old Florida (out I-10 to Pensacola and across the middle of the State from Ocala north) along with southern and eastern Georgia and into Hilton Head, SC, the Jags not only would increase by double or more their market but greatly expand their geographical footprint creating a larger aura about the team.
The players, the ROAR, Jaxon De Ville, Coach Del Rio, and Mr. Weaver need to do promotional visits to all these cities and small towns once every year or two. Imagine the draw and PR they would get as "celebrities" in many towns otherwise forgotten and the indelible impression it would have on kids (i.e. future ticket buyers and ticket pushers on their parents). A few years of visits like this (don't forget to bring your ticket and souvenir sales folks along) should spur some real bonding from these markets to the team. And, the Jags have no professional sports competition. It's all theirs for the taking.
Even UF, FSU, and UGA coaches travel the region every year to speak and stoke their fans, even with already sold out stadiums (well, usually. Sorry, Noles.) It just can't help but build the fan base.