Well, there are only 35 rest areas in the entire state, so I don't think it's a problem.
Besides..................I'm guessing the OP never knew or hung out with truckers. I live with someone who drove one for 15 years. And, here's a neat travel trip if you're trying to save money, and don't mind a little discomfort..................
If you see a national truck stop chain like Love's, if you ask the clerk nicely if you can park overnight in the lot, they will let you. And, while you don't have a room, there IS a bathroom you can access all night, and if you want a shower in the morning, 5 bucks will get you one. And, there is a restaurant to get breakfast.
And, truckers know they can pull into there and camp out overnight if they want or need to.