The closest place is going to be Woodlands Lake RV Resort
Why Woodland Lakes RV Park? - Woodland Lakes RV Park
We have not stayed there, but have driven through it, and it looks really nice. It's just a mile or two from the hotel. If you want to drive a bit further, up on 105 is a place called Country Place RV Park
Country Place RV Park . We have stayed there before, and it is a nice park. Even further away, but still doable is Wild Country RV Park on 1485
WILDÂ*COUNTRY RV PARK - HOME This one takes Passport America if you have that, and is also a Coast to Coast park. No cement pads, but still a nice park. There are half a dozen close by this one on Hwy 59 around New Caney.
So it just depends on how far you want to drive. Be warned, there is a lot of construction right smack in the middle of where you are going (242 (Needham Dr.) and I-45. There are frequent nightly closures that can make getting around there a real pain. Since this is a specific request, it sounds like you have no choice, so just a heads up for you.
If you have any specific questions, please let me know (I live close to here and we frequently go to the Woodlands as a diversion from our normal stuff).