Here is a thread I started a couple of years ago.
And a thread to start a golf cart - mobility section
My take, and keep in mind this is for the east coast.
I have found that many campgrounds on this side:
Don't allow carts
Only allow carts for seasonal's
Allow carts
Allow only electric carts
Have restrictions on time of day use and noise
And some like Myrtle beach have restrictions on cruising the ocean front road (a welcome restriction)
Some that allow carts require a per day fee or seasonal permit
Some that do not allow make exceptions for campers that have handicap placards
Some require liability insurance.
That all said, we opted for an electric cart and have cart liability tacked onto the RV policy.
I have purchased the Myrtle beach campgrounds annual pass. It was $25 for a year and we were staying almost 2 weeks.
I have never paid a daily fee, been using the don't ask, don't tell method
Besides, if two vehicles are allowed there is no reason to not consider my cart as a vehicle.
One campground that we use locally does not allow transients to have carts, yet there are at least 200 carts in the campground. For that CG I just added a number to the side like all the seasonals had, I used my work badge number
New Jersey has about 530 municipalities, and all but 6 allow LSV's, low speed vehicles. Essentially street legal golf carts. The town we live in happens to be one of the 6. Otherwise we would have a LSV and not be concerned what the campgrounds have for rules concerning carts, only second vehicles.
Most campgrounds we have been to do not allow UTV's ATV's etc.