You may have to give up on somethings since you don't have a kitchen, but you have to just make smart choices. When I travel, it's mostly jerky and nuts for snacks, eggs for breakfast, and burgers minus the bun when I'm at a restaurant. Just about any restaurant you go to has eggs and burgers. I'm sure you can find equivalents in Israel, I don't know off hand what that would be. Try to stick to the spirit of paleo eating rather than "rules".

But a bigger point is simply, don't give into temptations, and don't ever think of it as "cheating". The reason you lost 85 lbs wasn't due to any magic, it was because you quit poisoning your body. For your body the processed high-carb food was bad (some people can get away with it, but since you were 85 lbs overweight, you're not that lucky), so just treat it like poison. You wouldn't give in to the temptations of arsenic would you? If it's bad for you, just don't eat it.

(According to Saveur) Israel does have a classic breakfast egg dish (shakshuka), usually eggs, tomatoes, chiles, and feta cheese (meaning at least a good spicy breakfast should be easy to find).

http://www.saveur.com/article/Recipes/Eggs-Poached-in-Tomato-Sauce

If it were me I'd probably do the best I could (I like Miked's suggestions) and incorporate some Intermittent Fasting protocols temporarily.

I agree this would be tough! I think perhaps I'd consult with the staff at check-in and ask about local markets and local restaurants most likely to have the types of food I need. They could probably help translate the names of menu items so you could make the most varied and healthy choices.

Some of your travel could be an opportunity to find the healthier side of local cultural eating! That assumes time permits, but if you're not there long enough to do some prospecting then the eggs and burger suggestions are the way to go.