If your BAV is developing stenosis (stiffening, valve doesn't open all the way), then the high-reps/low to moderate weight will work just fine. That's what my cardio recommended to me as my stenosis was progressing. I don't know what the protocol would be for a regurgitant (leaking backward) valve. My cardio also told me I could do all the aerobic/cardio-vascular exercise (jogging, bicycle, walking, etc.) that I wanted. This would help my heart and body to stay strong and possibly delay the time when surgery would become necessary. I was able to stretch things out another 9 years after diagnosis, having my valve replaced at age 63.
I think that in the mild stages of valve disease, they pretty much just watch the patient. There are few, if any, restrictions unless they see evidence of weakening of your aorta, in which case they would restrict activities that raise your blood pressure. You probably have some years to go before surgery is needed, so as AmyR said, live your life and enjoy it. Keep up with your scheduled medical checkups and just do what they tell you to do.