Probably 108. The 109 goes up Maryland Parkway, which is WAY beyond where you want to go. You want to connect with anything that goes to the Strip.
Since I don’t have a schedule here, I’ll have to wait til Saturday to give you suggestions.
From there take the Deuce a short ride north, about every 7 minutes. $2.00.
The hotel is due west of the airport terminal, just a few hundred meters beyond the runways.