Sky City casino is under 20 minutes to the east of Grants and Dancing Eagle casino is just 5 more minutes east of that. Both have RV parks that are good for overnight stays, Dancing Eagle is the better value being $11 a night. Grants itself has a KOA and a few other small RV parks in the area, railroad is very close to some of these. Bluewater state park has been mentioned and it is very picturesque, definitely worth a visit when you have a couple of days to spend. It is a bit off the interstate and quite secluded with very scant offerings as it pertains to food and fuel, best to come stocked for a few days.