We had this problem last Easter. Were in LA. I took everything with me on the plane (carried on, of course). Instead of baskets (my kids leave the same empty basket they received on their first Easter out for the EB), I took brightly colored gift bags with ribbon and easter grass. Now, my kids are old enough to spot the stuff and question what it is so I had to be very careful. One afternoon I took my totebag with the goodies and headed off for "some alone time". I found a quiet place and assembled the bags and took them to the front desk. The next morning when there were no gifts from the EB, we just explained to the kids that he could not get up the elevator without a key (or past security, etc.). We called the front desk and they said he had left something addressed to Master Boyce and Miss Claire. A bellman brought it up to them and they were thrilled!!!
Very easy for me. Knew exactly what they would receive. And less expensive!