From the information you gave it's definitely a Chevy small block!
Actually, that engine casting was used for a number of applications, including 1967 Z-28 302 290hp engine, as were the cylinder heads. The block casting was also used for 327's in '65-'68 Impala's and '67 Camaro's.
THe "HC" suffix identifies it as a 250 or 275 horsepower 327 originally being originally installed in a '65-68 full size sedan with a Powerglide transmission, or a '67 Camaro with Powerglide. At least one source says that casting was also used as a 1967 and 1969 350 with manual transmission.
The casting date does appear to be June 1, 1967.
The cylinder heads were for a 1967 302 or 327 engine.
Based on the information available (and I'm certainly no expert), it sounds like your car has a '67 327 originally mated to a Powerglide transmission. It may have the original cylinder heads attached.
It would be a real find if it was an original Z-28 302 as they were real screamers, but it's doubtful. If it was a 302 I think you'd know by the performance it was no standard small block. They were so underrated at 290hp I don't see how any Chevy rep could even say that with a straight face. A friend had a '69 Z-28 with the 302 and that car could smoke the tires in any gear.