The Cammona Tong and the Thieves Guild are enemies. Several of the higher ups in the Fighters Guild are in the Cammona Tong's pocket. This isnt about reducing the crime in Vvardenfell, since the Cammona Tong is a criminal syndicate, its about eliminating the competition. I'm not that far in the Fighter's Guild questline, so I cant check the dialogue or journal entry as to the details of the "arrangement". The wiki does say that he gives you gold to pay off the bounty, though. You'd probably have to kill the leaders one at a time, then run outside before any other guild members can get to you, then pay off the fine. Of course, your best bet is taunting or frenzy. A custom 2 second, magnitude 70 spell should work, and still be somewhat easy to cast.
There are only 2 which are really involved in the camonna tong and that's the current guildmaster and his orc sidekick, which both reside in vivec. Eydis isn't a fully camonna tong supporter, as she will betray them if you bring her the bittercup (she turns out to be a clavicus vile worshipper)
Percius Mercius is the old guildmaster and the opposite of sjorring. Hrundi sides with Percius, so that's a good guy too.