Im sure you can put on a class 3 hitch with a 2 Inch receiver, but it might have to be an aftermarket instead of OEM.
Considering the wheel base of these crossovers, yes I am sure it will help. You didnt mention the length and the weight of the trailer you are trying to tow. By upgrading your hitch to tow class 3, you will most likely be grossly exceeding the limits of the Edge, but we wont know until you provide the additional info. Also, does your trailer have brakes?
