I figured with all the knowledge at this awesome web site someone might have the answer to this. Has anyone had this problem? After my car warms up and I start driving there is an enormous amount of hot air blowing into my driver seat area. Mainly down by my feet and along the inner floor vent on the side. How do I correct this it is unbearable to drive in the summer like this. Any pics would be helpful too.

Funny, Every Vette I've been in does this...  My 81 is an ankle burner...

Try these old posts, they may help.  Im sure there are more but these are the first ones I found.  Hot air can come in at all the locations that Ron mentioned. Most, if not all, of us have fought this same problem in the summer.

Adding insulation under the carpet will help a lot.

I first replaced vacumm valve in the one heater hose, no effect.  I than put the insulation under the carpet and manual valves on both the heater core hoses.  Fixed the problem.  You do have to stop and open the valves if you ever get cold.  Unless it's winter that never happens.

This is a pretty good thread on the subject as well:

I've have the shut off valves, headers wrapped, and trans covered. The heat that I still get on my right foot is incredible . My next step will be the vent doors, firewall, and carpet. I really don't want to touch the carpet, it's the original, and in excellent shape.

Do you have A/C in this Vette?? If yes on the consol control HOT and COLD cable connects to a water shutoff valve. If this don't close when you put on cold. The hot water from your heater pumps into the cage.  Now if you don't have A/C.   Install a pair of side pipes. They don't go under the cage. and you will feel the difference and hear it too.