I have a different thought on this. It is either that 250K is not high enough or that SA is literally dumb. If you have lots of money to spend, the H will likely to offer you a QB (or even 2-3 QBs) on the same day. (It is also possible to get more than 2 QBs in a year... You just need to be a VVIP.) They just trick you with the term, "relationship," but after all, it's all business with some game rules.
The real problem is that the Greenwich store in CT is awful in terms of stocks and the low inventory of QBs. (To me, it was literally like those airport stores, but with the availability of QBs.) I personally had bad experiences with the SA over there. It would be wiser to shop in the bigger pool such as the Madison Maison in NYC. (Madison Maison will always get the stocks first before the surrounding stores in MA, CT, PA, and other stores in NY, etc.)