Hi again dear Kaei
To clarify i feel that if i incorporate a heart in your logo design i probably would be going in the wrong direction for 2 main reasons:
1.- Health not always refers only to heart disease conditions, there are other several health problems not only cardiovascular ones in any family.
2.- Most logos that use a heart as part of a logo might be confused with social dating services.
Taking in consideration this thoughts i wonder if you still be interested about incorporating a heart to my proposal in some way, i know using a cross is out from your interest,consider a using the heart element would be important to give the correct message, thanks.
Rick