You're doing pretty good.
I would raise the temps to 85 and 95 if you haven't already.
Yes, a 10mg/kg is what I usually found comfortable injecting. You may want to check into injecting every other day for a month though. Alot of times these quick 1 to 2 week antibiotic regimens aren't enough to completely kick the bug they've got, and your animal is sick again a couple weeks later. You also want to switch sides after every dose.
And NO, you can't "blanket" .4cc per 1000g of Baytril, BUT you did you say you got the 22.7mg/kg stuff. THATS why I recommended that.
I hope the Baytril clears it up, if not, a C/S test could yield false results since you've already started antibiotics.
Good luck to you and your animal.
Welcome to the forum