Your VL can use tips 1, 3 or 5. 3 would be the usual model paint size. #1 will probably only spray something really thin like ink or tinted thinner. I have a VJR, which is of the smaller breed of V's. Its head options are 1 (tiny) and 2 (not as tiny). Not only can it do very fine lines with the 2 head assembly, it can even shoot quite a tiny little area from a few inches away.
I can't really get anything done with acrylic through that airbrush. Too much tip dry. Excellent enamel results every time though.
What I've noticed about my Paasche stuff is that the air hoses inhibit the airflow some compared to Badger or Iwata air hoses. Maybe your VL will do what you're wanting to do at higher pressures. You've gotta experiment with the whole range.
Have you tried any gravity feed airbrushes? Since they work at lower pressures, I feel that it is much easier to control where the tiny paint spray is going.