fresh water tank vent
I would be surprised if there isn't a vent of some kind, even though it my be poorly installed. If you can find a way to install one, you should be able to locate an existing one. There are several things that are well known to cause problems with fresh water tank vent lines. The plugging with some type of debris is only one, but is worth checking.
You are correct that a vent line would have to come either from the top, or near the top of the tank. They are usually made of clear plastic tubing, but other things are at times used. If you can locate any plumbing line that enters at the top of the tank, it is safe to say that it is either the fill or the vent. I would start by tracing the fill line back to the tank and watch for a location where you have both in close contact.
Another issue in the search is the type of fill that your RV has. If you have one of the old style fills that has a place to insert a hose, the vent line is usually connceted to a small hole at the top of the fill access. But if you have a tank fill that just uses a valve from your city water connection, that will probably enter the tank near the outlet for your water pump.
A properly desinged vent line will exit the tank at, or near the top, and it will travel up for at least a foot or two. From there it can either continue up to a high point exit as with the old style fill, or it can reverse direction to exit from the bottom of the RV. At no point should there be any "U" shape in the line or it will fill with water and no longer vent the air from the tank. That same problem is common in vent lines from fuel tanks on motorhomes.
I would be very slow to "punch a hole in the top of the tank" because you must know how to seal that hole or it will always leak. Most of the modern water tanks have the penetrations "spin welded" into them. What that means is that the fitting is spun to cause friction to melt the tank wall as it is inserted. The wall and the fitting then bond much as a welded fitting would in metal. You will have a very difficult time installing a new fitting in any other manner with most tanks.