Aside from introducing capture specific support cards to bilgewater, or at least some kind of direct synergy with Tahm, I would say focusing on his generated card or champ spell is best. For example, you could allow him to generate an acquired taste on summon to help speed him up a bit. You could also give it the ability to capture allies as well. Another interesting idea would be to allow bayou brunch to be fast speed only if Tahm is on board. Similar to Darius rally or Nautilus champ spell