If it was me? I would keep looking, just on principle. If I'm paying for a place to live, then short of the obvious (no trashing the place, no criminal activity, etc) I wouldn't accept my landlord imposing regulations on my sex life. Isn't that part of the point of moving out of your parents' house in the first place-- you accept the responsibility of paying rent in exchange for the freedom to set your own rules (and get laid)? What you're talking about kinda sounds more like a boarding-house parole arrangement rather than a lease.
After I moved out my parents started talking about renting out my old room and asking me if I knew any "clean, quiet college students" who might be looking for accommodation, but then under questioning the preconditions started to sneak out... well, they'd have to be in by a certain hour because them coming and going at all hours wouldn't do (and they'd have to learn dad's "etiquette" for entering the house where one announces one's self or gets lectured for "sneaking around")... and they'd probably have to be single because my dad had issues with me having sex in his house, nevermind strangers... and they'd have to be willing to help out around the house with stuff like shoveling the driveway... and-- and that's when I told them "no, I seriously doubt you'll find anyone willing to pay you to be their controlling parents when, for the same money, they could get an apartment where they could come and go as they please, get laid, and have professionally plowed parking."
Long and short of it, if you propose a rental accommodation that doesn't include the renter's freedom to conduct their own personal affairs as they see fit, it better be a once-in-a-lifetime deal. Otherwise, you're positioning yourself poorly in a competitive market, because I imagine the vast majority of options don't include a "no bringing home hookups" clause in the rental agreement.