I like the set a lot, the trashing on use theme hasn't really been used in dominion. As such, you get to make the one shot cards more interesting. Here's just a few thoughts...
What if Barracks scouted for attack cards instead of searching for them? Then you could combine the + actions and the + card and sketchy players couldn't cheat the system. Even if there is no other attack card, it's still a 5$ village which curses once.
Barracks: +1 card / +2 actions, reveal the top 4 cards of your deck. Place any revealed attack cards into your hand, and discard the rest. :: When you gain this, gain a conscripts.
I say discard the non-attack cards instead of placing them back on the deck for balance reasons, if you could use it to set up a draw chain it would be way too effective.
*Edit* I'm keeping that idea up for discussion, but I realized that as is in certain trashing heavy games, or with scrying pool, (don't even imagine ambassador) that card as suggested is way too good.
Honestly just make it "+1 card / +2 actions, when you gain this card gain a conscripts." It might be a little boring, but it's balanced and never useless in a kingdom set.
I like fund, one shot gold is never bad. However, you might want to restrict the +buy to only when you trash it, otherwise it blows woodcutter out of the water. Did you have problems in playtesting if it's effect stacked with itself? The upshot of bridge is that you can use it to buy more of itself rapidly, but with fund you can't, since you trash it in the process. It might be slow enough that without other sources of income massing lab/fund isn't automatically a winning strategy.
Cathedral appears to be godly powerful at first glance. Its 1 card draw short of embassy, a card so good it gives your opponent silvers when you buy it. And it even trashes instead of discarding your crap cards! If you want, you can even move money to your next hand if you've gone over 8$. Yikes. Ironically, making it trash more and courtyard more would be really cool. What about "+4 cards, trash up to 4 cards from your hand and place your hand on top of your deck in any order?"
I'm sorry if I'm completely changing how you wanted these cards to be played, but I'm a bit tired and fairly inspired by what you have here.
This easily could have gone either way.