Runic Cards

One could replace the dice for Bets with a deck of cards containing:

• 1/6 of the God's major Rune — for 6s;
• 2/6 with minor Runes of the pantheon or God — for 2s and 4s;
• 2/6 with nothing or neutral Runes — for 3s and 5s;
• 1/6 of the Rune most opposed to the God — for 1s.

You would need many cards to prevent "cheating" and avoid reshuffling every time runic support is sought. As a reference, 60 cards comfortably support up to 10 Bets on one side while keeping ten copies of every possible result. The divine explosion is slightly constrained, but the statistical effect is negligible.