Middlebrooks is already there with an 8 year age advantage (and honestly far less dedicated baseball training) ... look at Uribe's past seasons and Middlebrooks 2012 already beat it.
You look at the issues Michael Bourn, Kyle Lohse had in the market this past season - the QO millstone does matter for both sides ... there were precious few offered, and for some of the obvious non cracker jack guys, it caused them a lot of problems finding work. And Bourn is a better player than Drew and he had a serious lack of suitors.
A good team will be very gunshy to give up its 1st rounder for Drew. A bad team which doesn't have to surrender a pick won't be - but if those are the only teams Drew will field offers from, he might as well take the QO (potentially).
Bogaerts is ready for this. His reps have been limited, and I am not going make a small sample overreaction, but I watch the same at-bats you do. And yes, starting him in AAA is not a tragedy ... although his trajectory (and those of comparable cases) would indicate that it's not necessarily likely. But there is a lot of stuff already there which is big-league ready ... you just need the strong hands to let him do it. The team's evaluation has to be whether this is the sort of dude who can take the pushing, the challenging - judging by the evidence to date, that is a resounding yes.