Our Bullet 246RBS has a vent hood above the stove that doesn't vent to the outside of the camper. The stove area is on the slide-out. There is a Fantastic Vent in the ceiling almost right above your...
It's not that difficult to install the duct and vent cover to vent the fan to the outside. If you're squeamish about cutting a hole in the exterior and would like to remove it, I'd suggest to replace it with a piece of aluminum panel.
Most larger metro areas have a metal supplier where you can buy metal panel like this and it is inexpensive. I buy PVC coated aluminum panel off-cuts by the lb. at this place: Discount Steel ($2.50/lb.). Good luck with the hood.