Hi Dear,
Welcome to HCM.
Understanding your concern. As per your query you have symptoms of  dry itchy rash on the finger , Well there can be many reasons for symptoms you mention in query like angiomas , 
seborrheic keratosis , allergic , eczema , psoriasis , warts , chickenpox or scabies. 
It seems it is mainly it is due to 
dehydration. Need not to worry. I would suggest you to 
consult dermatologist for proper examination. Doctor may order 
blood test , allergy test along with skin patch test to confirm the diagnosis . Apply ice pack on finger to reduce swelling and itchiness .
Doctor may prescribe antibacterial or antiviral depending upon the diagnosis along with anti inflammatory , corticosteroid ointment , 
crotamiton or ivermectin . For now do not apply any cosmetic product and protect your skin from direct sunlight . 
Hope your concern has been resolved.
Get Well Soon.
Best Wishes,
Dr. Harry Maheshwari