Overseer
3$
+3 Cards
Discard a Treasure card (or reveal a hand with no treasures).
You may trash a Refugee Camp from your hand.
Refugee Camp (no randomizer card)
*2$ - Action
+2 Actions
+1$
+1 Buy
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When you gain a card that isn't a Refugee Camp, you may gain a Refugee Camp from the Refugee Camp Pile
When you gain a card that is a Refugee Camp, the player to your left may have you gain a Refugee Camp from the Refugee Camp Pile.
(This isn't in the supply)
Ducat
*4$ - Treasure
+3$
Any player may reveal a Duchy from his or her hand. If any player does, return Ducat to the supply.
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You can't buy this card (it's in the supply)
When you gain a Duchy, you may gain a Ducat.
Woad Raider
5$ Action - Attack
+2$
Each player with 5 or more cards in hand reveals his or her hand. For each player, name a card, and that player discard all copies of the named card. Trash Woad Raider.
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In games using this, when you end your buy phase without buying a card, gain a Woad Raider.
I'm a big fan of Duchess, so I made up some cards with Duchess clauses. The first one feels like it really needs a ban on buying the card, otherwise it will never compete with Village. As Donald has said, Village could be 0$ and function pretty similarly. Refugee Camp would pretty much always be strictly worse than Village if it costed 0, there would be no reason to fool with its recursive drawback if there were other ways to get +actions and getting +actions is going to cost you at least one buy anyway (except on boards flooded with +buy, but I don't want it restricted to that).
The second one -could- be buyable at 5$, but I think makes for more interesting games at unbuyable. On an engine board that looks towards Goonsing eachother later but with no trashing, you could easily buy it as a 5$ gold and say, go ahead, take a nonGoons Duchy AND a nonGoons goldish to try to nerf me. I dare you. But I think it's more interesting when it's only a Duchy dance wrinkle. It's also possible that this is better as a Silver.
The last one has this core concept of what if you had a devastating attack, but you could guarantee Alms was always on the same kingdoms where that attack showed up, so it's kind of ok. When I looked back on the card it seemed to be quite the case that buyable is better than nonbuyable. I think it's a weak 5, though it's hard to say since gaining spoils is such an abstract bonus on the similar Pillage. I would think its use as an actual 5$ purchase would be tactical and surgical and an effort to hit something specific with the attack. The vanilla bonuses on this one might need a tweak.
Hopefully at least one of these is better than my recent vomit!