Unless you want a day to honor William Henry Harrison. It remains Washington's Birthday, George Washington scholar Matthew Spalding insists. (See his book, co-authored with Patrick Garrity, which remains the best book on Washington's ideas.)
The Monday Holiday Law in 1968--applied to executive branch departments and agencies by Richard Nixon's Executive Order 11582 in 1971--moved the holiday from February 22 to the third Monday in February. Section 6103 of Title 5, United States Code, currently designates that legal federal holiday as "Washington's Birthday." Contrary to popular opinion, no action by Congress or order by any President has changed "Washington's Birthday" to "President's Day."