Speaker John Boehner left open the possibility Monday that the House might pass long-term funding for the Homeland Security Department without immigration provisions attached, as Republican options dwindled for avoiding a capitulation to the White House and Democrats. Boehner declined to say over the weekend if he would permit a vote on the Senate-passed measure, and his spokesman similarly sidestepped the question Monday. Officials in both parties predict it would pass, and end the recurring threat of a partial agency shutdown.