I don't have a hotel recommendation but I do have another recommendation: Stay away from Deal's Gap. As sapentia said, the Tennessee Highway Patrol is supposed to be cracking down. And even if the Highway Patrol takes a day off, the place is still packed with people who can't ride/drive. There are much better places to ride/drive.

If you absolutely must go . . go during the week.

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Porsche Cayman
Mercedes E320 Bluetec
Ducati Paul Smart LE
BMW R1200GS