I would be more concerned about compacting the material moved than actually moving it.
I would do that with my 110 without hesitating. A contractor wouldn't because he has to pay the operator by the hour. If your own time is free, go for it.
Think about it this way: you are moving the material in a 40' x 40' x 1' area to another area. That is roughly 60 cubic yards.
I have put 40 yards into a dump truck from a loose pile in ~2 hours, which included the time for the truck to drive a mile, dump the load and come back.
I have trenched 100' x 3' deep x 20" through the woods in one day with the hoe. That is only 18.5 yards of material, but I had to dodge trees, pull out big roots, work on a significant slope, and build a dirt ramp to get in there.
My guess is that this would be 2-3 days of work, mostly digging with the FEL, dumping, backdragging and compacting with the tires. Maybe loosen some material with the hoe as it gets deeper. You didn't mention a footer for the foundation, which might add another day or two. You might want to dig the footer first using the hoe just so you don't have to deal with a 2' step right where you want to position the machine for trenching the footer.
Plan this out ahead of time. I am pretty fearless on the size of project I will take on. I would be tempted to dig out the footer around the low end, hire a helper to assist with building forms for just that end and pour a footer high enough that it would act as a retaining wall for the fill material. Then dig the footer around the high end, re-use the same form material and pour a footer that would act as a retaining wall to keep the earth out of the high end. Then move and compact the material with the 110 and pour a slab floor. Might take a while longer, but you would save $$$. Most places you can design a 2' retaining wall without an engineer. It would be even less expensive to use cinderblock for the retaining wall/stem wall. I would use forms and a poured wall just because I am terrible at laying block.