Hmmm! I must be thick. I'm missing something. I know where I am by the coordinates on the galaxy map. I know where I want to go to by the coordinates. I can't click on anything in the direction I want to go, neither can I see what direction to go when sitting in my cockpit. Please be gentle on me, it's been a long day. How do I get any sort of navigation plan fixed in my ship?
When you're in the galaxy map, and have decided where you want to go, zoom out in the map until you can see the grid (and coordinates) clearly. At this point, star systems will be tiny, and you won't be able to see their names until you select one.
Now scroll or move the map in the direction of your target coordinates. The three coordinates indicate a place across the galaxy west to east plane : up and down in the galaxy plane : and across the galaxy north to south plane (sorry, I can't explain it better than that). As the coordinates get closer to your target coordinates you are moving in the right direction.
From time to time, select a star system to see how far it is from you, and select one when you get to just under 1000 Ly. Write it down as a waypoint.

Repeat until you get to the neutron fields.
Edit: I'm on PC, and my controls for manipulating the map are:
Mouse wheel zooms the map.
Holding both mouse buttons and moving the mouse scrolls / moves the map.
Right mouse button moves me up and down in the map.
I imagine you can set these to whatever you want with the control options.