Barkley missed another penalty with four minutes of the half remaining but, after Bath skipper Michael Claassens was shown a yellow card for a high and early tackle on David Strettle, Quins fly-half Nick Evans made no mistake with two penalties to give his side hope at the interval.
The workers will fly in and out of Los Angeles International and board the ship with a sailor's card from the Bahamas, where the ship likely will be registered.