How did your symptoms start and then progress?
What did the doctors say about the condition of your penis?
Are you having difficulty urinating or having an erection?
Has there been any trauma such as excessive handling?
What have you tried already to help the penis to feel better?
Your description is quite helpful. This does not sound like a fungal infection or an STD. Whether or not you choose to go to a dermatologist at this point depends on your level of discomfort. I recommend you stop the clotrimazole/betamethasone and switch to hydrocortisone cream 1% which is available at the drugstore. Apply a light layer 4-5 times a day. If it is working, you should be able to notice improvement within 5 days, then continue the cream for several days past the time it appears to have healed completely.
To ease your mind, you might go ahead and make an appointment with the dermatologist and use the hydrocortisone cream until you can see this physician.
I hope this has been helpful to you. Please leave feedback.