One thing to consider is how heavy is your bike and what type of lift you will need and will the RV support that. The lifts can be very expensive. You might consider a trailer to haul the bike.
you can see prices of some campgrounds on www.recreation.gov Depending on your age, you might be able to get the America the Beautiful aka "old geezers" pass and save half price. State park prices have increased in some states and if they have hookups are running $25-$35 per night. You can also find weekly and monthly rates that are affordable in non touristy areas. We average $30 per night for camping but we like full hookups. If you can do without hookups and boondock you will save money. Insurance and fuel will be the other 2 most expensive items. Save fuel by not moving around as much. Maybe monthly rather than every 2 weeks. Use the bike for sightseeing in a radius. You can save money on food and entertainment when you full time RV. We chose diesel because the engines tend to last longer although they are a bit more costly to maintain. A walk around queen bed will be worth it if you can find it. There are also some Trek RV's that have drop down beds in the living area that work for one person. Keep us posted!