I would also recommend one of these tiny 40" to 48" trailers from Northerntools or Harbor Freight over a bicycle trailer. Harbor Freight discontinued their regular coupons but still have some occasionally where you can save an additional 10% or so.
These bike trailers are not made for that kind of abuse. Although you will find videos on Youtube where people are using these bike trailers behind mopeds or scooters.
Or check the local classifieds for small used utility trailers.
And finally you probably need to have lights on it and get it registered. Not sure you could do that with a bicycle trailer.