You didn't mention how many yards of concrete. Ten yards at the FEL carrying capacity you mentioned would be in the ballpark of 50 trips (if my math is right). That may take a bit longer than you anticipate.
I have routinely carried concrete and even blacktop in the FEL, but for much smaller jobs where five or so trips might be required.
Standby time for the truck might be a consideration, you might see what their rate is for that. In these parts it is loosely based on the quantity delivered, any time over a per yard allotment is charged.
Been there, done that, have fun, and enjoy your new basement!!
Sherweld