lots of fresh fruits keep for ten days (apples, oranges, grapefruit, unripe bananas). Plus you could bring some uncooked oats to add to hot water if you can't bring enough fruits.
You can have grapes/melons/berries for your first day there, as they will go badly the quickest. Apples last a super long time for me, even when organic. Oranges would be rated second for this trait. They both keep very well. Buy some unripened pears for when your apples and oranges run out, as well as some very unripe bananas. Don't stress, it's just about getting the timing of ripeness right!
Another thing to consider is, will there be a freezer in this hotel? You could "borrow" some space in there, and bring large ziplock bags filled with frozen mango, frozen nanas, frozen raspberries etc. Same goes for peas, red bell peppers, celery, cucumber and corn (if you eat that) which you can de-thaw and nibble on. Hope I helped :)
I understand the limited amount of room to bring lots of fresh fruit, but don't worry about what others think of you. Even if they think you're "quirky," often times the quirkiest folks are the most charming!
And you could add your dried fruit to a small amount of hot water til they soften a bit. Could also try half oats/half dried fruit.
People won't care, the times I've eaten/brought large amounts of fruit with me people are always positive, and sometimes surprised lol. On the plus side your luggage will probably smell nice and fruity! I once opened my bag on a road trip which was full of peaches/bananas/grapefruit and it made the car smell so amazing lol :)
Would you rather go hungry or be nutrient deprived just because of what someone may think of you? Weigh your priorities here girl, are you number 1? Treat yourself like such. You have a responsibility and that is to take care of your health.