I agree with Lieven. The original question sounds like you're trying to be approximate. Embrace the inaccuracy! Is there some reason that it is important that it has not yet been a complete year? If so, then you are going to have to make that point separately.

Here's another "no true Klingon" argument. Whether or not a Klingon would say it does not make it unsayable. And I don't happen to think that a Klingon wouldn't say it. The advice to be accurate is not advice to cite data to the umpteenth decimal point or to cite no data at all, and it is certainly not advice to give precise but wrong data; it is advice to always use as much precision as you possess. If all you know is that it was almost a year ago, but not exactly when, then it would be perfectly appropriate for you to say so. If you do happen to know exactly when it was, then cite that date.

As for the original question, I agree with those who say that the tlhoS in tlhoS wa' ben qaSpu' wanI' incorrectly tries to apply itself to the noun phrase wa' ben. I like mayqel's solution of wa' ben HochHom qaSpu' wanI': simple and accurate, though I feel a little uncomfortable about having "most of" a particular moment in time. I wonder if one could say wa' HochHom almost one as in wa' HochHom ben qaSpu' wanI'. I wouldn't feel comfortable using that either, but it does seem to follow all the rules.

Imprecise time expressions are always a challenge.

-- 
SuStel
http://trimboli.name