Its gunna be tight. I have a 35 ford pick-up cab chopped and channeled. I am just shy of 6'1" not sure if your Chev has less or more room, but is probably close. I still drive my rod all over the place. Get the seats as low as possible.
__________________
Proud member of the Brantford Piston Pushers. (Second Generation) & Disciple of Speed of the E.L.T.A.
I have bomber seats in my 31 roaster. I am 5' 10 and don't have a problem. If I was going to do it again I would fab a seat pan and resess the floor so I could angle them back. You would gain leg room and sit lower for a better line of vision. Like I said mine are fine but I can see where anyone over 6' may be an issue.