As his poll numbers have declined in the closing weeks of the presidential race, Donald J. Trump has begun to engage in barely veiled promotions of his business brand off the campaign trail, dragging reporters to his marquee properties in between his campaign events.

On Tuesday, Mr. Trump added an abrupt appearance at the Trump National Doral, one of his gilded golf courses and resorts in Florida, ostensibly to demonstrate how many employees he has there and how much they admire him as a boss.

On Wednesday, instead of spending the morning in one of the battleground states where polls show him trailing Hillary Clinton, Mr. Trump held a ribbon-cutting at his elaborately remade hotel at the Old Post Office on Pennsylvania Avenue in Washington.

The stops are a remarkable display of personal promotion by a presidential nominee, raising questions about whether the businessman, who has lived by the mantra that “all publicity is good publicity,” is at least partly casting his eye beyond the 2016 race, and toward bolstering the brand that bears his name.