After 18 turn-ins, I ended up with fairly even spreads for 2 of the quests (my first two and last two, on one of them, were pots - which for the longest time I'd about given up on getting more).
But for the "wooden item" rewards, I ended up with only 1 dishing stump and 1 pier, and about 8 each of the logs and dead tree.
If anyone else has some extra stumps and piers, I might be interested in trading log piles and dead trees for one of each (you can't have a pier with only ONE support, after all)