I used to like Binions before Harrah's as well...didn't know the self-stamper was back; I got the same third degree while it was in the human-stamping.
I'll take Golden Gate or Plaza (they still have the old school stamper at the Plaza)
GN has great valets, but who wants to wait forever to get the car back?
I used the outdoor lot at the Plaza last time; had rented a subcompact and received a trailblazer (for the same $15 a day lol)...but that was the easiest place to put that monster. The only thing is you don't know if the vehicle will still be there when you get back
My real personal pick- park at the old lot at Sams Town and shuttle it downtown or to the strip...no tickets to stamp etc...but ya gotta want to be in wolf country in the first place.
At the Golden Gate, toke the valets $5 up front and your car will be up front (yes, Lincoln still has a little clout over there)..plus you can get a cheap shrimp on the way out
MP