Then when Fidel came to power one of the things he promised was to reduce the reliance on US trade. And he nationalized all of the private property and assets belonging to American individuals and companies.
And in response to that, the embargo was introduced. AND THEN there was the Bay of Pigs.
So lets not pretend the embargo is what destroyed US Cuban trade. Fidel did that all by himself, without the help of the embargo.
Also, the US didn't push Cuba into the Soviet sphere.. Fidel already had close tied to the Soviets before the embargo. It was one of the reasons for putting the embargo in place.