I carry an additional fuel tank, this means I can push the fuel a bit.
One of the first treks I made, I was doing the same as you, however, as my lifelong Elite Quest is to find a new (previously undiscovered) Guardian settlement (or similar) I realised, I need to check all systems that I come by, not just the ones with a fuel stop in it. I'd be furious if someone announced they found such a thing and the system next door had my name all over (it containing a scoopable star) and the one with the find in it had a Brown Dwarf. This is why I carry an extra fuel tank in the optional slots. To go through the 'barren lands'.