I returned from Vegas after spending week 1 and 2 of the NFL season there. Went to quite a few sportsbooks. My favorite for wagering was the M Resort. The place is nice and clean and has numerous bars and eateries. Their buffet is the best in Vegas for under 30 bucks for Dinner and includes King Crab legs. The buffet also includes beer and wine, Rootbeer made on the premises and beers from their Micro brewery.
The sportsbook offers ingame wagering and 1st half and 1st qtr. lines on numerous games. I made a cash deposit and took my wireless gaming device and sat at the bar and made my wagers from there instead of standing in line. It worked for me. Made wagers such as, will there be a first down made on this drive.
If you are a drinker, the Rio sportsbook is the place to be. We took in a Sunday night game and the CW kept bringing us each a beer and a shot everytime with no drink ticket required. Just take care of the CW and she will take care of you.
Back to your question, while strolling thru the downtown area one nite I noticed that there was what looked like a Leroy's self serve wagering kiosk at the Golden Gate Hotel not far from the entrance. You maybe able to place your wager for your ryder cup matches late at night using one of those self serve type kiosks.
Hope it helps you and good luck on your matches.