I got really good at stealth missions, as I did the entire story quest line without doing a single fight. Here was my process:
In hyperspace, remember fuel is used by distance, not time. Keep your fleet smaller:
1. Stick to deep hyperspace/storms while moving slow, and go dark if you suspect someone is going to hunt you.
2. If someone does start to hunt you, burst away towards the deepest part of the storms till you are far away, then go dark again, and go wide around them.
3. Use Transverse jump to enter in as close to your destination as possible.
In system, you have a smaller fleet, so you want few D-mods that increase sensor profile:
1. Stick to dust clouds or asteroid belts if you can. Be ready to burst away if seen.
2. If someone does see you, burst away but turn 90 degrees once you leave sight of them.
3. Return to dust clouds or asteroid belts as soon as possible, but go dark as soon as possible. Use your discretion when. You might need the extra speed of full burn to continue to evade them.
If your target is being guarded, which it often is, you may have to bait them off. This usually means moving a ways off in the asteroids, and sending out a sensor ping. This will make them see something in the asteroids. Immediately burst away and come back from a different angle. Hopefully they will take the bait.
When leaving, use transverse jump. Often you might want to use transverse jump from far off the edge of the system, as this will give you a head start in hyperspace if enemies are chasing you. If possible have them chase you off to the boonies first as well before you jump.