When working through a system with the DSS (not FSS) you will save time, and be more efficient, if you switch the System Map to Orrery mode - Hopefully this saves at least one CMDR from zigzagging backwards and forwards!
As for me, this saves me from zigzagging for months, almost since I've started to play. Orrere is really helpful, even though the navigation here not always user-friendly.
U can just go closest contact 1st, then next closest, u should work a pretty good spiral doing that??? Its not aways best but its mostly right most of the time Orrey does help