Actually...i found something that might help you out here if you want to save some money on your travel.
i found this link
http://www.lvmonorail.com/ride_02_routemap_pop.html
#25 is where the stratosphere is at. So...thats only a kitty-corner away from where your hotel is at.....plus the small hassle of cutting through the casino and hotel of the Sahara.
Hope that helps.