I don't know what a 6 weighs, but I sling my late model flat V8 and HD 3 spd tranny around on a 2 ton cherry picker. The engine alone weighs 569# Your six should be lighter than that. Only caution is to make sure your lift has 4 feet/rollers (not 3) for weight distribution so it doesn't want to go over sideways.
A 2 ton hoist is more than adequete for pulling the engine. I have pulled my flathead 6 and trans with a 2 ton hoist with no problems. Same hoist has been used for multiple engine swaps in a few of our projects.
'46 Ford 1/2 ton
'07 Black F-150 XLT SuperCrew
plus a handful of other Fords
Remember to look at where it is rated as two tons. Some units are rated as 2 tones with the arm fully retracted and go down as the arm is extended. If the motor and tranny are half the weight of the truck it would be a ton or less.
I am in the process of getting a 1949 F3 with a 226 Flat 6 roadworthy. I like to drive them, then decide what I want to change. I think it helps with motivation.
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