I do need logos to work on white background, but I do not see why # 44 wouldn't work.
I love #45 and how it is simple yet stylish. I do not want to gob it up, but would like to maybe see some addition to it just to see how it might look. Maybe on the right side a Golf Flag and Cup sort of like an exclamation point. Just an idea, but again, I do not want to mess up such a nice logo.
Use your judgement and creativity. I am excited to see more from you.
In Reference to #44. I think maybe the long grass need to be lower/further away from the hole, and maybe some shorter or putting green like grass around the hole.
Also, Vegas has some great sunsets. Maybe instead of the Blueish Hue Arch, we could do something like Reddish, Orange, Yellow (Sunset like fading).
Lastly, I would maybe like to see the #45 logo inside the Arch of #44.
Just some ideas based off of your entries thus far. I love your designs, and look forward to seeing more of your creativity.