Now that vans have been mentioned....here's a couple of other things to think about.
Hook-ups (electric, water, sewage). If your vehicle is an all-in-one, any time you need to go somewhere you have to unhook from the RV spot's hook-ups. With a trailer, you can leave the trailer and just take the towing vehicle where you need to go.
Storage/toilets/stoves. Size matters. A smaller RV (van, pop-up) can limit what is inside. As someone stated, a tear-drop RV has the kitchen outside. Some small RVs don't have a kitchen, they may have a grill that attaches outside. Do you want to cook outside in the rain/cold? A small RV might not have a toilet or it may have a chemical toilet. There may not be a separate 'room' for the chemical toilet...so that can reduce privacy. Shower, with a small RV you may have to shower outside. Of course where you stay makes a difference; state parks and RV campgrounds usually have a bathroom and shower in the RV area. You're probably familiar with them since you say you tented before.
If you stay at state parks, most are first come first served and might only hold your spot if the RV/tent remains in the spot. So if you have an all-in-one and leave for the disc golf course, you may come back to find your spot gone.
Lots of pros and cons. My main suggestion is start looking around at dealerships where you can go and lie down on the bed, check out storage, etc. BEFORE you have to buy. Also, when you get to a course and see other disc golfers with RVs, ask them about pros/cons (if they had buy one again, would they get the same type?). Also, there are RV groups on Facebook that you might check out. RVers are a cool group, it's like a community of its own. Most everyone is excited to show off what they have and answer any questions about it.