Hello from JustAnswer.
You are correct that a fungal infection is a common cause of these symptoms, and so the use of the various anti-fungal agents was a reasonable approach. Since these have not helped, it is much less likely that this could be a fungal infection. However, there are some cases of fungal infections that do not respond well to topical anti-fungals and ultimately need an oral anti-fungal for resolution. These are far less common, but are a possibility. The usual method for determination of a fungal infection when topical medicines have failed would be a scraping of the affected skin and microscopic examination, and if these symptoms persist, this may need to be done.
Since the antifungals did not help, the most likely cause would either be an inflammatory condition or a condition that is irritating the nerves that serve this area. Since there is no visible rash, it is less likely to be an inflammatory condition, but this is the condition that there are treatments available over the counter using either an oral antihistamine or a mild cortisone cream. Nerve irritation can occur anywhere along the course of the nerves, such as spinal disease or pelvic diseases that affect the nerve as it travels to this location. There are medicines that can help ease nerve irritation, such as gabapentin or pregabalin, but these are only available by prescription, so that it would be necessary to see your doctor.
So, it would be reasonable to try an over the counter antihistamine or cortisone cream to see if it helps. If the symptoms persist, then it would be appropriate to see your doctor for consideration of a scraping of the skin or a medicine to ease nerve irritation.
If I can provide any additional information, please let me know.