I have played Aliante a number of times. I was actually a member there for a year when OB Sports let non-residents join for resident price. Anyway, I haven't played it in a couple of years and have been told it's not in great shape. I stopped by there last June and was told I could play for $35, which is a good price even if it's not in perfect shape.
Since you're coming into town the end of June, you'll be there in the off season. This means that all courses lower rates for the summer. Twilite rates start at 11am for a lot of courses because of the heat, but don't let the heat scare you. You'll ride in a cart right to your ball. Just be sure to drink a lot of water and save the adult bevs for the 19th hole. Fees will be somewhere in the neighborhood of 60-65% of their regular rates, so it's a great deal.
Staying downtown gives you easy access to freeways. You'll be within 20-25 minutes of most any course. I would recommend playing one of the better tracks in town other than Cascata which is very expensive. TPC LV, LV Paiute Resort or Primm Valley are tops on my list. They may run $25-30 more than most, but the experience will be far superior. Course conditioning and service are fantastic. As my best bud always says, "You're on vacation, treat yourself!" He's right.
Good Luck!
Ric at Joes