If I had to pick a team, I would say the Chargers. We've played every season since 2011 but one. Games have been competitive for the most part. Also could consider the Jags for the in state competition.I would go with the Bengals. (Nothing to do with living near Cincinnati, lol)
Both are usually battling for second place in their divisions.
Tannehill and Dalton are similar ages have faced each other 3 times
Tannehill with 2-1 edge including dramatic walk off OT win.
Unfortunately it's all we got right now.