Tubeless- - - - -no way! Your split-rim wheels are not airtight without the tubes and flaps, so there's no option but to run tubes, other than swapping to a drop-center wheel, and those won't clear your brake drums unless you go to a larger-size tire like a 16.5" tubeless.

Just drive the thing! After about 5 miles at normal highway speed, or as fast as the shake will allow, the flat spots will warm up and go away. My son's Dodge-chassis motorhome with 16" tube type tires does the same thing, rattles teeth for the first 5 to 10 miles, depending on temperature and how long it's been parked, and smooths out after that. If the tires happen to have nylon cord, it's worse, the dreaded "nylon thump" that all commercial-rated tires used to have.
Jerry

"It is better to be silent and be thought a fool than to speak and eliminate all doubt!" - Abraham Lincoln
Cringe and wail in fear, Eloi- - - - -we Morlocks are on the hunt!
There is nothing noble in being superior to your fellow man; true nobility is being superior to your former self. - Ernest Hemingway
Love your enemies and drive 'em nuts!