Oh boy
Sorry Caspain

Good to hear you are talking to the vet about all of this!
The frogs should be tested for Chytrid and Rana virus -- see post #7

The lamisil treatment for positive (B. dendrobatidis)
Lamisil AT spray
1cc in 220 ml of distilled water
soak entire frog /for 5 minutes / daily /for 15 days
New lamisil solution needs to be made every 24 hours

Athlete's Foot Spray | Athlete's Foot Treatment | LamisilAT

QT tanks need to be bleach daily ( 1:10) during treatment ( and rinsed with de-chlorinator and water )
then spray QT daily with the lamisil solution /don't rinse

repeat Chytrid test

It is very important to identify this as being positive.
A swab should be sent to vetDNA.
If it's positive; every frog needs to be treated.
and
Every tank will have to be dismantled/ treated/every plant and all substrate properly discarded

Obviously, it would be just terrible to do this without conformation !!!

Be sure to let the vet know about he vomiting.
There are certainly other illnesses the frog could have?