Once 2017 has passed, they'll surely need more time.
Perhaps even new equipment.
Perhaps the equipment needed will still have to be invented.
Who knows how many years are needed for that.
Exactly as long as you run your silly fantasy.
No, we will relative fast discover that when moving north something is wrong
It can take time to fine tune, where the anomaly will culminate, but this will also will be done pretty fast, because it is not difficult..
The same thing is possible for Galileo 5 and 6, but I have to say I do not know much about the orbit. Little data can be found..
If the Galileo 5 and 6 will keep a relative large elliptical orbit during test, we will also be able to measure that speed will increase more than expected by perihelion. But fare from so much measure by flyby, simply because approach to Earth is far from the same.
The best experiment that can be done is to let a space probe fly very close to Earth (flyby), this will increase speed, 'much' more as expected, - but notice large speed (the SR influence) have the opposite decelerating effect, and can more or less cancel out the accelerating GR influence.
So to have biggest possible anomaly we must have slowest possible speed, and biggest possible approach to each. This will cause a biggest possible positive speed anomaly.
If we instead have smallest possible gravity influence and biggest possible speed, we will see an decelerating effect instead. (fx the pioneer anomalies)..
Furthermore flying towards north will have a decelerating influence; due to it will activate EDFA, even if the orbit is circular.
So it is easy to calculate and setup the best possible space probe trajectory experiments, but this of course require that also 2nd part of the theory (the GR effect) which is discussed here 2 days now, - is taken serious..