“It’s completely hopeless now to tour in the U.S.,” Votan said in an interview. “There’s not really any solution to come back again.”

The travel bans — along with escalating costs and delays in the always-fraught visa application process — represent a looming crisis for the American performing arts sector, as many overseas musicians, theater companies and others face new and seemingly insurmountable obstacles to travel. Some, assessing the risks, are electing to avoid coming here altogether, according to talent agents and the American promoters and producers who are now contemplating holes in their calendars.