The hard cornering fuel issue will only be solved by an in-tank system specifically designed to address this, a fuel return wont help you here. The fuel return setup isn't really needed on the 370 until you get up into the 550-600whp range, GTM kits have proven this. You will also run into tuning issues if you attempt to connect the FPR to a vacuum source as VVEL makes for some interesting cruising vacuum numbers.
If you would feel safer adding one, Charles has everything you need:
Nissan 370z VHR