L.M.
First let me say that you have to go with YOUR gut sometimes as a mom. Let me also say that I am not telling you to do this but rather I am telling you what I did...some will disagree and that is ok but it worked for me! Both my kids were healthy with NO underlying conditions to consider. I have also included a few other observations.
When my son was born in late 1991 the big campaign was for babies to be on the belly so as to not choke if they were to spit up. My son always slept on his belly whether it was on my chest, in the bassinet, in the crib, or in the bed. Later after that they changed their minds due to SIDS...now every thing indicates a child should sleep on their backs. My daughter was born in 2006 and would not sleep on her back unless in my arms. She slept like an angel on her belly. My husband (first time dad) was extremely nervous the first few times but he got over it and we all slept better. Let me also tell you that neither of my kids had any problem w/ neck and muscle control (lifting their heads or sitting up).
My nephew slept (when he slept) on his stomach and had some issues and hated tummy time. My cousin's "grand child" has trouble lifting his head and hates tummy time. I have seen doctors recommend belly sleep for some babies due to specific health concerns.