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Join Date: Sep 2009
Location: Minneapolis: DL DM charter 2.3MM
Programs: A3*Gold, SPG Plat, HyattDiamond, MarriottPP, LHW exAccess, ICI, Raffles Amb, NW PE MM, TWA Gold MM
Posts: 100,417
HR Tamaya (spelling?) in NM is located on an Indian reservation and run by the tribe. (There's a small but good cultural museum just outside of the main entrance.) There's a casino on the reservation, but it's not easily walkable from the hotel, IIRC several miles by small secondary roads within the reservation and I didn't notice a shuttle service.
I'd think also about Hyatt properties near riverboat casinos, for instance in New Orleans and St Louis, although New Orleans has casinos on the ground too.
One could also think of major or regional casinos and try to find the nearest Hyatt: Atlantic City might be Princeton or Philadelphia, Bridgeport CN has a newish HP in New Haven, upstate NY might lead to a HR in Syracuse, Indian casinos in MN would be Hyatts in the Twin Cities (HP Eden Prairie might be closest), there's an Indian casino off of Wisconsin state route 29 where HR in Green Bay (less than an hour by car) would be closest, three HPs near Des Moines are about two hours on I-35 to the casino at the Iowa welcome/roadside rest center at the MN/Iowa border, etc. but these are unlikely to satisfy the OP's idea of nearby.