There's also a Hilton Vacations property on the site of the Flamingo, and one somewhere else on the Strip.

The easiest way to earn FF miles is renting cars in Vegas, IMO. I've earned two Rapid Reward redemptions mostly on car rentals using 3x/4x Alamo bonuses... which I've redeemed for flying to Vegas (WN is a pretty decent way to get to Vegas; a lot of WN cities have Vegas nonstops, even places like LBB).