I would love an actual forklift. We have a cannibalized forklift converted to three point hitch to run on a small tractor but a dedicated unit would be handy as heck.
With sixteen inch handles and having to hold the jaws closed I cannot imagine being able to turn a 3 3/8" but, bolt, or fitting with these. Maybe if you used a ratchet straps to clamp them shut, but still?
I really like the M18 fuel hackzall. With a 9.0 battery it balances perfectly. I've gotten a full afternoon of trimming trees out of it with battery to spare.
I have an Irwin 6" that would work just fine for your purposes. Don't overthink it. A nice vice is nice to have but for general use a vise you find on the shelf will work.