Turn drinking rules into points or passes
Keep the card game and make participation independent of what’s in the glass.
Pick one scoring method
In a set-collection game, count completed sets. For a prompt deck, have the table score one point each time it finishes a round. Leave questions with yes or no answers unscored so nobody has a reason to reveal something personal.
Remove penalties tied to drinking
Tell everyone before dealing that penalties and drinking instructions are skipped. A guest can pass without explanation and keep their place in the next round. Keep the same rules for everyone.
Try a short practice round
Read one card aloud. Demonstrate how to pass and how to end the turn. If a rule needs too much explanation, return to the score mechanic or use a standard deck instead.