President Donald Trump is considering pushing to have a special counsel appointed to advance a federal tax investigation into the son of President-elect Joe Biden, setting up a potential showdown with incoming acting attorney general Jeffrey Rosen.

Trump — angry that out-going Attorney General William Barr didn’t publicly announce the ongoing, two-year investigation into Hunter Biden — has consulted on the matter with White House chief of staff Mark Meadows, White House counsel Pat Cipollone and outside allies.

That’s according to several Trump administration officials and Republicans close to the White House who spoke to The Associated Press on condition of anonymity to discuss private matters.

Beyond appointing a special prosecutor to investigate the younger Biden, the sources said Trump is interested in having another special counsel appointed to look into his own baseless claims of election fraud. But if he’s expecting his newly named acting attorney general to go further than Barr on either matter, he could end up quickly disappointed.

Barr on Monday evening announced he will resign effective next week, revealing his plans about a week after Hunter Biden publicly disclosed that he was under investigation related to his finances. It is generally Justice Department policy not to disclose investigations that are in progress, though the subjects of those investigations can.

Rosen, the deputy attorney general, will step into the Justice Department’s top job in an acting role. A longtime litigator, he has served as Barr’s top deputy since May 2019 but largely shies away from the spotlight. He said in a statement Tuesday he was “honored” to serve and “will continue to focus on the implementation of the Department’s key priorities.”

Trump is still weighing his options, considering whether to pressure Rosen to make the special counsel appointment or, if needed, to replace the acting attorney general with someone more likely to carry out his wishes. He has even asked his team of lawyers, including personal attorney Rudy Giuliani, to look into whether the president has the power to appoint a special counsel himself.

A key question will be whether Rosen can stand up to presidential pressure — and potentially withering attacks — in the waning weeks of the Trump administration. If not, Rosen could be cast aside in favor of others more willing to do Trump’s bidding.

Believing that a special counsel probe could wound a Biden administration before it even begins, Trump aides have urged the president to push for one, which would make it so the investigation can’t be easily stopped by the incoming president. No firm decision has been made....