Alaskan had the lowest 2014 score of any GOP senator, and the group could primary her.
Stephanie Rawlings-Blake could be the second female African-American Democrat in the race.
The Maryland Democrat will reportedly announce her candidacy on Tuesday.
“Ted Strickland is a champion for middle class Ohioans," Sen. Sherrod Brown said.
Republicans are defending 24 seats compared to Democrats' 10 in a much more favorable 2016.
"I enthusiastically endorse Chris Van Hollen," the Senate Dem leader said.
The Maryland Democrat is already facing resistance from MoveOn.org and others.
The New York Times reports Ben Jealous is taking a look at the open seat.
“I think he’s such an extraordinary talent,” the Democratic leader said.
Chris Van Hollen is already running but groups say he isn't progressive enough.