Hmm that sounds strange, did you call the melanoma center? They will usually get you in sooner than that. When I was first diagnosed I got an appt there within a week with the dermatologist and then she referred me to the oncologist who I saw the following week. (415) 353-9900 is the number. It has been a life saver for me to have transferred my care there from a different place and your father will be in good hands. Definitely call tomorrow morning, see if they can put you on a cancellation list, so you'll get a call as soon as there is an open spot.
Here is their webpage for making a first appt: https://www.ucsfhealth.org/appointments/melanoma/index.html
There is an email address you can use as well to try and get some help too.
I'll be there on Thursday morning, if you continue to get the same response about no appts until next month, let me know, I'll see if I can talk to my favorite front desk guy about why that is for you.
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