if your current Outfit is able to engage and withstand "hard" OpFor (i.e. if your Drop Weight is at least 0,5 skulls higher than contract's estimated difficulty), you should be ale to recover from Loathed by Pirates acting as follows (that is, this procedure has always worked for me, so far) :
1. While in game, click onto BATTLETECH’s right hand high corner Menu icon
2. Select “SETTINGS”
3. Select “DIFFICULTY”
4. Select “OPFOR STRENGTH” scroll-down menu and toggle it down to “EASY”
5. Save and back out to “NAVIGATION MAP”
6. Set route to Bellerophon, Detroit or Úr Cruinne and check of any 1-skull Pirates’ contract; then:
a. If you find none, then negotiate any number of available on-site only local government’s contracts against pirates (you’re already loathed by them, so there will be no love lost there), then set course to one of the other star systems I’ve mentioned above.
b. If you find any 0.5-skull Pirates’ contract available, negotiate all of them for good faith only (i.e. all reputation only reward) and complete them right away.
c. If you find any 1.0-skull Pirates’ contract available, go to SETTINGS/DIFFICULTY/OPFOR STRENGTH and toggle it up to “NORMAL”, save settings, back out to the CONTRACTS screen and negotiate all of them for good faith only (i.e. all reputation only reward) and complete them right away.
d. If you find any 1.5-skull Pirates’ contract available, go to SETTINGS/DIFFICULTY/OPFOR STRENGTH and toggle it up to “HARD”, save settings, back out to the CONTRACTS screen and negotiate all of them for good faith only (i.e. all reputation only reward) and complete them right away.
7. Rinse and repeat points 1 to 6 until your Pirate Reputation rises above -40, at which point you may start negotiating Pirates contracts as “Business as usual” (i.e. with either Cash or Priority Salvages’ reward).