As far as dosing for baytril I don't know. If you suspect it sounds high PLEASE verify the dose or get a second opinion from a veterinarian. Don't worry about being embarrased if everything is still okay. This is your pet and you are in charge of its treatment. An overdose on baytril will destroy your chinchilla's intestines (fatal reaction).
I do know that the volume can depend on the concentration of the medication which needs to taken into consideration. There are definitely enough symptoms to warrant treatment.
Meloxidyl is an NSAID that is used to reduce the inflammation. That has relatively little side effects as long as you don't use it over several weeks.
Because small animals are not something that most veterinarians are experienced with bad accidents can happen.