how to take beta blocker and keep hair

I was on toprol and loved it because i have palpitation's well after taking for about a month i noticed my hair was coming out a little more than normal, I have fine hair any ways and loosing any even 3 would be horrible, so after seeing my hair come out in 30's it terrified me and i told my Dr i was quiting the toprol he didnt seem to mind and just said that he had never heard that it cause's hair loss, well it does it did and i am upse, What is out there that wont cause my hair to fall out? help anyone.