Toy haulers are always heavier than stated brochure weight, mine was at least 600# heavier but not a big deal since the only weight that I considered is the GVWR.
Your tow vehicle should to be able to handle the GVWR and have sufficient payload and hitch to carry the heavier than normal tongue weights that are typical for these type of rigs.
The Amped 27FS is definitely 3/4 ton territory for a safe and comfortable towing experience. I have a similar sized TH and it can be a handful for my Chevy HD2500 when fully loaded.
I have been looking at TH and TT units lately and find the Evergreen Amped rigs to be very nice and well built overall. Looking at their weights I would not really consider them lightweight.