The SDX stops somewhat near the LVH, but I can't picture exactly where you might catch it.
I know the monorail Sahara stop had a bus stop across from the back door of the Sahara, but I don't know if the new SLS has a back door. And that is a good bit of a walk.
There are other stops not too far, but I'm not sure I'd like being out and about late at night on those streets between the strip and the LVH.
I waited once after a show for the 108 and it was uncomfortably dark and deserted at that stop.
As I remember it was near an overpass. Were someone to have bad intentions, no one was there to interfere. As it turned out, no one was there at all.
The best way to get information is to plug your departure and destination into the lines on the bottom left of this screen
http://www.rtcsouthernnevada.com/transit/
It will route you.
Frankly, I'd take a cab for the show. You can use your bus pass to get very close and make the cab fare much less. If you are coming from downtown the SDX will get you near the
Stratosphere and you can grab a cab from there.
The other advantage tot he cab ride is that it is a long, long, long walk in to the LVH along their access road from Paradise. A cab would put you at the door.
Also, if you are taking the SDX from downtown to the strip before the night of your show, pay attention to the stops in the area of the LVH and to how they look to you late at night.
I head out to the Clarion from downtown, and I'm okay with that. In fact, I had a long talk with a security guard at the Clarion, and he said that between there and the strip they have not had any trouble.
And I think he was being honest because he came from my childhood neighborhood and we had plenty in common and seemed to be straight with me.
I also get off the SDX along Convention Center Drive near the Clarion and walk up to the Riviera or to Peppermill.
But getting any farther East from the strip towards the LVH makes me uneasy.
Once I got off the SDX too soon and I'll guess that was about half way from the strip to the LVH, and the walk to the strip just seemed uncomfortable from a street smart perspective.
And when you get back , tell us what you decided, why, and what you did; then we can add that information to collected bits on buses. If you have time, give me a PM so I don't miss your trip report or bus post.