What does it matter? The 150 is a ballpark number for estimating. I would take that 1590# and call it 2000 (minimum) for the puspose of sizing rigging, etc.The weight of the actual concrete in his pier will vary from 150lb/cf depending on the aggregate and other components used in the mix, plus the weight of the rebar and/or wire.
I like the engine hoist idea, taking a couple bites you can have it flush with the slab in one or twmanageablele pieces.
Seems like the easiest and least expensive way to go. If you don't have a engine hoist you can rent them by the day, or maybe can borrow from a friend. Worst case buy one at HF and sell it when done for a few bucks less than you bought it for.