For dominator I use this:
Dominator:
Smithy
Treasury
Chancellor
Council Room
Chapel
Ironworks
Throne Room
RemodelBridge
Cellar
AI will try to use Smithy/Ironworks/Throne Room/Treasury combo.
You will do Chancellor/Big Money strategy which nets you 90% win chance agains AI.
Here's how to play:
Buy Chancellor then Silver. Now you need to get Big Money! so start by buying silver / gold when you have enough and always use Chancellor ability to reshuffle your discard pile into your deck. Once you get 3-4 gold, 3-5 silver and start getting 8+ gold start buying provinces. If you get 6 gold at this stage you need to calculate what percentage of your deck consist of gold/silver vs victory cards, if it's ~50% or more then you buy duchies otherwise buy gold to retrain a good chance to get ~8 gold to buy those provinces.
With this strategy and this card set I had like 30+ winning streak at which point I went to random set to make games interesting.
Alternative strategy with the same card pool is Smithy/Big Money which works the same as the above but you replace your single Chancellor with a single Smithy. Choose whichever you like and get those 5 wins or even more!