I would like to give whatever offering I have at hand as a sacrificial offering to the gods.
Depending on playstyle and location of base, there are always certain resources that become plentiful.
100 leather or 50 thick leather would give you 1 zeal for example.
This could also be a random reward. As in, the outcome of the offering would be random.
You might not get anything either if all you have to offer is some crappy old armor you no longer use.
Or you could get lucky and get 5 feasts or 10 zeals.
The point of this suggestion is not make the grind for zeals easier, but rather put surplus resources and old stuff to some use instead of just dropping them.