Dating Sites Reviews Forums

I've been searching the internet for DAYS trying to find an answer to this question, so I'm hoping someone here can help.

I'd love to find a dating site where you have extensive flexibility with who can view your profile. My goal - to allow my profile to be viewed by ONLY those members whom I have specifically contacted on the site. Nobody else can view it, period, whether in a search or a suggested match or whatever.

Does this even exist?