My Air cooled Titan Xps have no problem beating my Water cooled Pascal Titans.
Here is a link with a quick run using my Air cooled Titan Xp, if I could be bothered to use water cooling it would be even faster.
https://forums.overclockers.co.uk/posts/27903763/
Probably but unless your running 100% fan speed it's implausible.
My first TXP would drop below 1800 on air with a normal fan profile which is still far too loud.
My Ti keeps 2050-2076 all day long with a low speed fan profile and that's what I would recommend.
Good custom Ti. Love my Zotac AMP. AIO wouldn't be a bad call either.