HAVANA (AP) — The success of President Barack Obama’s new Cuba policy depends partly on hotel hand towels.Not just hand towels, but working air conditioning, breakfast waffles and the hundreds of other amenities that American tourists will demand when they flood to Cuba in numbers that travel experts expect to double this year, thanks to the loosening of travel restrictions on Friday.U.S.-based Cuba travel companies say there’s simply no more room in the handful of top-end Cuban hotels that meet international standards. That means that if visitors come in numbers as great as expected, they will have to find lodging either in grim, lower-end state facilities or one of the most vibrant parts of Cuba’s small, new private business sector: family-run guest houses that offer independent sources of private income to thousands of Cubans.That scenario is exactly what Obama said he hopes to achieve. When he announced the policy on Dec. 17, the president said that the U.S. wants to be “a partner in making the lives of ordinary Cubans a little bit easier, more free, more prosperous.”The first test of the new U.S. approach may come down to where new American travelers choose to lay their heads at night.“A significant increase in U.S. travelers would overwhelm the system and overwhelm the availability of the Cubans to keep tabs and keep controls on these travelers,” a U.S. official involved in the execution of the new policy told The Associated Press on Friday.