219,462 entities (including unborn turtles) can fit on a single camel if you do it right. Chicken eggs aren't as good because they only stack to 16. Sniffer eggs could also work, but they might be too hard to get a lot of.
If you're all alone and don't have a friend to ride a camel with you, you can do a similar thing by loading up a llama (with 15 inventory slots) on a chest boat! This will carry 181,444 entities!