Normally most “Right of Ways” listed on deeds are limited to certain activities, related to traffic, powerlines, phonelines, and fuellines. I rather doubt you will see a trapline right-of-way. Some right-of-ways are limited in time. Government road right-of-ways have limits.
Many years ago I had a friend whose folks owned a ranch along a winding river. One of the issues that was brought up was a trapper running one or more traplines on the ranch without permission. My friend’s father was making an effort to catch the trapper. One day a group of us from school went down to the river to catch catfish, because trout season was closed. We found one live hen mallard in a trap, and two other dead ducks in traps during the day. The trapper was after muskrat. We also found a cache that contained two burlap bags of traps.
When we returned to the ranch house my friend advised his father of the finding. We then took a trip back down to the river and pointed out the ducks, and the traps. His father tossed the traps into a deep hole in the river.
The rancher was not against trapping the muskrats; he had given permission to another trapper to run a line on the ranch with certain restrictions. One of which was timing, the trapline was not to be run when the area was full of migratory waterfowl, and the traps were to be checked daily.
It is easier to ask permission then forgiveness. Suggest you create a permission form, which you or the property owner fills in regarding the description of the property. And a clause that releases the property owner of liability from any incident that happens because of your trapping operation.