In the TL "Red Dawn Plus 20", set in the (As the name clearly suggest) an alternate version of the 1980s in which the Soviets invaded the US as in the 1984 movie, they had Gus Hall, the OTL General Secretary of the Communist Party USA since 1959, as the American president of the Soviet install puppet government.
https://en.wikipedia.org/wiki/Gus_Hall
While in the HOI4 mod "Red World", in which the Soviets won the Cold War thanks to a massive series of US-screws one after another since the end of WW2, one of the rump successor governments fighting to control the balkanized lands of the former united states is the Soviet-backed 'Union of American People's Republics'. With Angela Davis (A communist political activist and academic who was part of both the Communist Party USA and later the Black Panther Party) being an expy of Stalin, complete with mass purges and massacres of 'capitalist class enemies' in the streets of Sacramento.
https://en.wikipedia.org/wiki/Angela_Davis
In "Red World" There was also Jarvis Tyner, a founder of the Young Workers Liberation League, and later spokesperson for the Communist Party USA in OTL, who can become the the 'Khrushchev' to Angela Davis' 'Stalin'. With him denouncing her cult of personality, apologizing for the mass atrocities during the revolution, and tries to introduce a more moderate version of communism.
https://en.wikipedia.org/wiki/Jarvis_Tyner