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[jomini]

I can come quite close to beating this without prizes, but I'm not sure how to work things mechanically. Throwing this up in case someone sees a way to set this up (I'm already assuming perfect shuffle luck):


Xroads (3 actions left) ->
Workshop (gain a tunnel) ->
Hamlet (draw a tunnel, discard a tunnel for action, gain a gold, 3 actions left) ->
Duchess (discard a tunnel, +2 coin, gain a gold)
Moat (draw two gold)
Buy province

A new luckless solution using a prize.
Xroads
Princess (golds cost 4, province costs 6, 14 total coin required)
Trade route copper (great hall, fairground, nobles, island, silk road, garden, estate, duchy, province, colony already having been bought means that you gain 10 coin)
Fools gold
Fools gold


A highly contrived solution, but no prizes:
Your opponent is running a black market deck and has bought a copy of every VP card in the game this means you can play trade route for 15 coin.
Play:
Hamlet (draw a copper from the discard, discard it for +buy)
Trade route (trash a copper, +15 coin, +buy)
3 FG (9 gold)

You now have 24 coin and can purchase 2 golds, a province, and something costing 4 coin.

[eHalcyon]

I like your first solution a lot, even though it requires luck.  In case you missed it, cayvie figured out my intended solution.  It uses Swindler to trigger Fool's Gold on your turn, then Courtyard to draw the Golds.

[Markov Chain]

A new luckless solution using a prize.
Xroads
Princess (golds cost 4, province costs 6, 14 total coin required)
Trade route copper (great hall, fairground, nobles, island, silk road, garden, estate, duchy, province, colony already having been bought means that you gain 10 coin)
Fools gold
Fools gold

This doesn't work because the trade route trashes a card, so you can't have two fools' gold left in hand.

[Morgrim7]

A new luckless solution using a prize.
Xroads
Princess (golds cost 4, province costs 6, 14 total coin required)
Trade route copper (great hall, fairground, nobles, island, silk road, garden, estate, duchy, province, colony already having been bought means that you gain 10 coin)
Fools gold
Fools gold

This doesn't work because the trade route trashes a card, so you can't have two fools' gold left in hand.

A Platinum would work, though.

[eHalcyon]

A new luckless solution using a prize.
Xroads
Princess (golds cost 4, province costs 6, 14 total coin required)
Trade route copper (great hall, fairground, nobles, island, silk road, garden, estate, duchy, province, colony already having been bought means that you gain 10 coin)
Fools gold
Fools gold

This doesn't work because the trade route trashes a card, so you can't have two fools' gold left in hand.

A Platinum would work, though.

Kinda breaks the cost limit though.

[Morgrim7]

A new luckless solution using a prize.
Xroads
Princess (golds cost 4, province costs 6, 14 total coin required)
Trade route copper (great hall, fairground, nobles, island, silk road, garden, estate, duchy, province, colony already having been bought means that you gain 10 coin)
Fools gold
Fools gold

This doesn't work because the trade route trashes a card, so you can't have two fools' gold left in hand.

A Platinum would work, though.

Kinda breaks the cost limit though.

Oh, yeah. Whoops. 

[jomini]

Edited to make this correct -

A highly contrived solution, but no prizes:
Edited to make this correct -
Your opponent is running a black market deck and has bought a copy of every VP card in the game this means you can play trade route for 15 coin.
Play:
Hamlet (draw a copper from the discard, discard it for +buy)
Trade route (trash a copper, +15 coin, +buy)
2 FG (5 coin)

You now have 20 coin and can purchase 2 golds and a province

[ycz6]

Trade Route doesn't work like that.