I've admired the fat tire logo since joing PCF - love the dealer button - maybe a button prize for the best name?
In a way, you've already named the club Fat Tire, by placing that on the table.
Names can also come from a location. So if your house is on Trout Run Road - Trout Run Lounge is good. Run roulette or craps? Trout Run Casino. If Woods (or other plural words) is in the name, like mine, you're golden - Valley Woods Lounge, Valley Woods Casino, something like that.
Bike related
pick a gear
5th Gear
23 Gears, etc.
Shifting Gears,
Gearhead Lounge
Gear Jammer Lounge (Gear Jammers, or Gear Jammers Lounge) - might have one here. Gears are jammed, you're not going anywhere, just chilling and playing cards.
Coasting Lounge
Chain Gang
Chainlink Lounge
The Unspoken Lounge - what happens in my game stays at my game.
I'll date myself with this one: Dew Drop Inn. I swear, if I opened a bar that would be the name. No one would come, but that would be just fine with me.