Generally you don't want to recirculate the fuel. After running through the system it gets hot and the mixture is well cavitated (full of little bubbles).
I was thinking that the fuel lines might provide enough cooling. And I can see air bubbles being created in 68converted's diagram but with my idea I don't see where any air could enter the system.
I wound up fabricating a stainless steel header tank and plumbing a low pressure pump to keep in fed - lots of people have done something similar. If done well, it completely solves the problem.