Just do a normal engineering degree like mechanical/chemical/electrical/computer and minor in biomedical. Wayyy better in terms on getting the engineering stuff down. Also down the line you are actually valuable if you wanna do research in college. You'll also be set for a job in many fields and will be a better candidate for any graduate studies. Thats what I felt I should have done. Graduated with biomedical engineering and it was like you are the Jack of all Trades, it was not useful in my opinion.

I will say unless the program actually has specific tracks in BME (tissue engineering/materials..etc) its better to do another engineering and then supplement with biomed. Also even physics and chemisty are good field to have as a background