As far as handling is concerned HT angle is pretty critical, but ST angle is largely just a mater of making it all work. Stuff that might affect ST angle would be the degree to which the wheel needs to be tucked in; Lug angle availability, where relevant; seat position relative to the BB; Seat position relative to streamlining. Not really handling stuff. Within a wider range you will find bikes with near recumbent positions that certainly have extremes of ST angle, but within the road bike range the ST angle is not terribly handling relatted.
You need to take the angles off the bike yourself. Tables of measurements may well be wrong. Angle measures are not terribly expensive, but you could probably improvise something pretty simple with a level and a protractor.