If the opponent is running Mace you can toy around with an attack or two on other ships to trick the computer to using the special on someone other than Biggs so he doesn't get protection from crits while you work on him. Even better if you can get Mace to use it AFTER their maul uses his special, it should pop them out of stealth.
In Ackbars case you WANT ackbar to heal Biggs, so he doesn't get advantage and automatic crits and TL.
Basically right now you just gotta fight biggs with biggs. 5s can work but that is a lot of waiting for a very short window as your opponent probably has 3-4 TL capable ships as well to re-enable the taunt. 5s is a great ship anyways though.
What I do is I run Biggs and SunFac if the opposing team has Maul in their starting lineup. One tank will get taken out, it is replaced by maul and the other gets retribution from maul. Most battles my maul comes out after their stealth is wearing off.
If they don't have maul in starting line up, I put in my maul instead of SF. Usually this will spread the damage about depending how RNG favors the TL and their Biggs. Worst case scenario is biggs getting taken out right away without to many TLs and replaced by Maul and his stealth/retribution.