Presumably you have some group that will be responsible for maintaining the structure. You need to find out what they intend to use to clear snow or groom the trails in the winter. I am not aware of a uniform code that defines this aspect and that could be the heaviest weight the bridge will experience in the future.
My snowmobile weighs tips in at around 800lb, and if you add a 200lb man along with some snow in the track it is not a stretch that the total mass is around 1,200lb. A horse for riding will weigh in at around 1,200lb plus the rider and if you have a work horse, that number can increase to 2,000lb fairly easily.
If this bridge was in good shape and was designed for something like a HS20 or so, I doubt you will find a great deal of structural problems. The bigger concern in my mind is the safety requirments such as the railings. If this bridge did not have any pedestrian sidewalks you will need to consider this aspect carefully.
Brad