Here's my two cents:
You didn't mention much about your vet. Hopefully (and I'll assume so), your vet is experienced with chams, preferably board certified in reptiles too, but minimally has solid experience & knowledge with/about chams. If not, ask him/her to refer you elsewhere or check the sticky on the forum about vet references. If that's not possible, your vet can always contact a cham/herp vet in consultation on your behalf, and I would make sure they do at least that, for the sake of your cham. Lower resp. infections can be very serious in any reptile leading to inevitable demise, sometimes very rapidly. They're not something to fool around with or waste time on. The sooner they're on proper treatment, the better their prognosis, usually...depending. Several factors such as bacterial species, how extensive, age/condition of cham, environmental factors like heat/humidity/stress, etc. contribute important roles to the outcome.
Also, with oral baytril you may see significant appetite loss, even complete anorexia, though if you do, it could also be due to the infection or a combo of both meds and infection. You may want to ask about different administration options of baytril: e.g. IM injection or IN via nebulizer, IW = intra-worm
. If he's really sick or been sick a long time, the best and safest thing would be to do a C & S (culture & sensitivity, assuming it's bacterial and not viral or fungal) in the event baytril isn't the right antibiotic (baytril is broad-spectrum and usually works wonders, but not always). C & S is rather pricey, but there's far less loss in time since it determines which antibiotic is right (treat with baytril in the meantime until C & S results come in). Time can be a big problem all too easily in such an infection.
In the meantime, maximize heat and hydration, and minimize stress...all this round the clock until he's well. If he's eating, to aid hydration feed foods high in moisture content like worms (horn, silk, butters, wax, whichever ones he'll take)...which you can also inject the baytril into, but only if he'll eat them before they die, if not, then no point in using this method of baytril admin (unless you can force feed the worm without stressing him).
The best thing for your sick cham is a qualified vet who can examine him to see "what's wrong" as well as monitor his progress...
in person; answer all your questions; prescribe the best treatment; and tell you what to do for him at home (e.g. give diluted electrolytes, reptaid, cricket slurry etc). Your vet is your best guide. If your cham is really very sick, he may need to stay at the vet's for closer monitoring. I've seen reptiles with LRI's suddenly choke on mucus plugs they can't completely cough up, or take an abrupt turn for the worse and need immediate oxygen +/- other emergency tx/rx during their otherwise regular treatment protocol.
Without knowing the details of your cham's situation in person, it's just always better to be safe than sorry. Anyway, that's a quick rundown for you...hope it helps. Everything said by others here so far is very helpful too
Just my thoughts...
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