I'm not sure if you are experiencing the same or similar thing as I have but I thought I'd throw it out there as I see there is a similar post here in this section concerning the tongue.
On both occasions when I've stopped smoking and taken up
vaping I've developed what is called "Geographic tongue".
What happens is that the villi on your tongue begin to shed and/ or grow extra long in places leading to your tongue looking a bit like a map. The bald places usually look quite red and they have a burning type sensation.
The patches can change from day to day as the villi grows and sheds. In my experience the whole cycle has taken up to ten days before my tongue has returned to normal.
I had this happen to me when I was smoking too so I'm reluctant to say that vaping is to blame entirely.
It was during a very stressful period for me that this first occurred and I have read that stress is the number one cause but there are other theories too - lack of vitamin B12 , hormonal changes for women and irritants such as alcohol and nicotine.
It's likely that the nicotine can contribute to this I'd say but perhaps also the shock of giving up smoking could be to blame also?
The things I have found to help are drinking warm green tea with honey. Rinsing your mouth/tongue with olive oil and brushing your tongue (gently if it's not too sore)
I resorted to using a sore throat gargle with whatever that numbing ingredient is in it the last time I had this as I couldn't sleep for the burning sensation on my tongue.
I'm now dropping my nicotine down a bit and hopefully this will help a bit too.
I suppose making sure you drink water frequently and keep your tongue well rinsed would help as well.
From what I understand geographic tongue is nothing to be alarmed about as it is usually a benign condition but obviously if it doesn't clear up then you need to see a doctor.