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The definition according to the C&R list is
Browning, M1935 Hi Power pistol, Canadian, Congol
ese, Indian and Nationalist Chinese Contracts, cal. 9mm parabellum.
Browning Hi Power, Classic Edition, 9mm caliber pistol, having S/Ns 245BC0001 through 45BC5000.
Browning High Power D-Day Commemorative, 9mm caliber pistol, having S/Ns 245DD0001 through 245DD00150.
Browning High Power, Gold Classic Edition, 9mm caliber pistol, having S/Ns 245GC0001 through 245GC0500

So run-of-the-mill BHP did not make the list (as it was make in 1999 and the HP wasn't introduced until 1954). The 245XXnnnnn serial numbers didn't get introduced until 1976.

Now, I'm not sure if YOU violate the law if you accept a dealer's statement that the gun is C&R eligible. You might have a duty to report it so.
I'd just keep it until it's 50 years old before selling it as C&R.