I seem to remember it being all white or possibly light grey. It was
from a distance though.

It had the nose of a 757 or at least it looked like it. Kinda like a
beak rather than a nose.

If it is for VIP's why would they be here? The guy taking the lessons
said that he thought it had been doing touch and goes for several
days.

Also with Barksdale a short distance from here, I wonder why they
would be here.

I just figured it was a privately owned airplane until hearing the
AirForce 7 name.