There is a situation in unemployment referred to as being "job attached." This means that you are seasonally unemployed, and the employer fully expects to call you back, you may even have a specific date to return, and during these periods of scheduled unemployment, the system does NOT require you to do job search activities and be available for other work. You do need to be amenable to coming back to work for your attachment employer at any time they request it, even if it means cancelling your last week of travel and flying home to be there the next morning.
But EDD is not in the business of grabbing up trained long term seasonal part time or intermittent employees and forcing them to go out on job interviews for other jobs while they are in the "temporarily off work" stage of their employment with this particular employee if they do not want to do so. The unemployment system has a different category for this type of claimant with slightly different availability rules.
So even calling the office anonymously and asking the general question would probably get you a more negative answer than may actually be the case. How did you plan to handle your weekly certifications during this time out of the country? I would suggest that you call the system, talk with a living person about your unique situation, and ask them if it's feasible. I know that our temporary employees who were "job attached" took their long vacations during the time they were off and receiving benefits, and many of them went out of the country for a few weeks on tours or cruises. Did they stop their claims temporarily or continue to file for those weeks? I honestly do not know.
You may be told to stop your unemployment during the time you are out of the country, and if this is the case, you'll have to wait until you return to re-open your claim and begin drawing benefits again. As it could very easily become a fraud overpayment if someone tried to report you for being out of the country, and you very well might get caught if you try to get by with it, I'd run it specifically past someone who works in this system and let them tell you what you should do. And if they say you should stop your claim while you're out of the country , and then reopen it when you return to the states, DO IT.

