Is there a strategy for consistent winning in the base dominion game with the base setup?
My favorite Dominion article, Building the "First Game" Engine, looks at this problem. The article works out some very good strategies, comparing them to a baseline of Big Money + Smithy. They run simulations to "prove" which one is best. A Village/Smithy/Province (V/S/P) strategy beats Big Money + Smithy a little more than half the time, and eventually the find a strategy that beats V/S/P a whoppping 89% of the time. Best of all, the article showcases the depth that a single set of 10 kingdom cards can have.

Their best answer is complicated (surprising to some, given the common overestimation of Big Money + 1 or 2 other card strategies). It uses a Workshop to pick up early Villages and a Remodel, a Mine, several Smithies and eventually a Militia, with Markets and Cellars "sprinkled in".

Of course it's not a definitive "best solution", but it's several clear steps ahead of an already very competitive baseline.