The total number of ranks in all perks is 275, as confirmed by Todd at QuakeCon. Note that he says "around 275 of those" due to the fact that 7 of the perks are actually the SPECIAL icons at the top of the chart, which can be selected as many times as required in order to increase our base stats as we level up. And so each of these counts as 1 perk. This leaves 268 ranks split between the remaining 70 perks, which equates to 66 perks with 4 ranks each, and 4 perks with only 1 rank. After many hours of researching the list, I have identified all 4 single use perks, which are Black Widow/Lady Killer at 2 Charisma, Mister Sandman at 4 Agility, and then Bloody Mess and Mysterious Stranger at 3 and 4 Luck respectively. Note that none of these perks would make sense having more than 1 rank.
Black Widow or Lady Killer (depending on our choice of protagonist) both open up unique dialogue choices when speaking with members of the opposite six, and so additional ranks would not work in this context. Mister Sandman allows us to silently kill any sleeping human or ghoul, which would be a guaranteed kill, and so further ranks would not be justified just for a minor boost in XP. Bloody Mess gives us a small boost to damage, but it's main feature is the 'violent deaths' and so again, additional ranks would not be justified. And finally, Mysterious Stranger gives a chance for said stranger to appear during V.A.T.S. to assist us, and this is already tied to our Luck score to increase the chance of him appearing as our Luck increases.
This means that all other perks, including V.A.N.S., will have 4 ranks.