ITC - doesn't look good:
I always wanted to go - but there marketing focus seemed to be 'you could hit on a court near a pro practicing'. The website had no useful info - memberships, daily rates for a court/coach to hit with - so I never bothered.
ClubSports - in Henderson and a lot closer to Ocean Spray - is highly regarded - indoor and outdoor courts and ball machines. Not sure if you can cut that on an internship. So you may go to one of the big public parks - Sunset and Eastern (8 courts I think) - and hang out and try to meet someone.
You should also network at Ocean Spray - probably some players who work there. There are courts at many of the public schools - so if you find someone, courts won't be an issue - just the heat and the wind. Good luck.