If you can get in, the GC Trailer Village inside the GC worked for us the in 2015.
We stayed at one just outside the South Entrance at Grand Canyon Camper Village in 2016 and IMO, it was a dump. Way off level sites, packed together, power pedestal that occasionally shorted out, water spigot that needed Vise Grips to operate and useless staff that didn't care.
There are better choices near Williams but they are about 60 miles over a road that could be better
Traveling with my DW Susan, a couple poodlepups and our 2014 Montana High Country 343RL, being towed by a 6.7 2011 F250 CCLB using a B&W hitch and OEM puck system