Here's a few options if the LVCC is full,
Park behind the Stardust,1/2 mile walk.
Park on Sierra vista Between paradise and swenson,1/4 mile or less.
The Sahara hotel has free parking in the Garage but it's probably going to be full,monorail or 1/2 mile walk.
Options further south from hotels.......MGM and PARIS have free no validation parking,direct connect to the monorail.
Flamingo,Harrahs have direct connection to the monorail along with IP but you may have to validate.
Mandalay Bay,Luxor,Excaliber,New York have free parking but your going to have to do the free tram to Excaliber, and walk over the the MGM for monorail access.
The Belagio, Ballys,Paris, Monte Carlo and New York will be the toughest points to get transportation from when it gets busy.
If your really creative take a cab from the airport to target,buy mountain bikes........terminate your cab ride and hit your destination from there,use the bike to get back and forth from the LVCC and back to your hotel..........YES they will VALET them.
Take Cabs cause it's pretty convienent,If you want 24/7 door to door,I'm a hack and it's cool to cut lines,titty bars,steaks and an honest ride.
LMK with an IM.