Hi L6
I have the exact same car you do. A 1967 Camaro 6 cylinder 250 with a powerglide.
I have had a lot of problems with my BV carb. It does sound like you do have a heat soak issue but who knows. Try getting either a thicker gasket to go between the carb and the intake or add another. I have done that on other vehicles and it has worked well.
I have owned 3 cars with these engines and carbs and they never seem to run right. Mine runs ok now but I am going to go to a offy intake and edelbrock 500 cfm carb. I have a turbo I am going to throw on there too. Hopefully it works. If not I have a nice 327 vette engine that will fit in their nicely.
Good Luck!