I just wanted to list out all of the ways that you can guarantee to get a $5 at any time before your fifth turn since it is very important as there are many very powerful $5 cost actions. I think it is mostly going to be events tho since most cards will just miss the shuffle. Also, this is assuming worst shuffle luck. If you think something should be removed, added, or don't understand why something is on here, you can put it down below. Anyway, here is the list I've made:
Events:
Borrow
Save
Expedition
Ferry
Advance (this is ONLY in shelter games)
Banquet
Desperation
Transport (though it technically doesn't gain the action, it puts it in your deck)
Bargain
Donate
Enhance (ONLY IN SHELTER GAMES)
Banish
Scouting Party
Cards:
Baker (setup)
Overlord (though not really, via emulation)
Ghost Town
Pooka (Cursed Gold)
Flag Bearer (only if no one takes the flag from you)
Silk Merchant
Animal Fair (ONLY IN SHELTER GAMES)
Fisherman (itself)
Night Watchman
Great Hall (ONLY IN SHELTER GAMES)
Projects:
Pageant
Exploration
Sinister Plot
City Gate
Ways (all of these require shelters, namely, necropolis):
Way of the Horse
Way of the Sheep
Way of the Otter
Way of the Owl
Way of the Pig
Way of the Squirrel
Way of the Seal