1. The more targets, the harder it can be to sort through all the ships in the system when probing.
2. Not all mission runners are noob carebears. The very first that shot at me, re-shipped to a combat ship and then destroyed my nicely fit Brutix.
3. Use all your advantages. Don't forget that you have a second character logged on in system. Have it in a support ship and ready to fly.
4. Bookmark the mission rooms for salvaging later, if the target doesn't bite.