I hear you, Mary. I've been on the same merry-go-round for three months too … I'm either having, waiting for, or being told I need biopsy/pathology/excisions etc.
The ideal situation is to find someone who will roll skin checks and biopsies into one visit (both my skin cancer clinic and my derm did this… if they see something suspicious they biopsy it immediately). Results take about 2 days and I usually need to wait about a week for a wide excision. I guess that's as good as it gets. I'm in Australia and there are skin cancer clinics popping up here there and everywhere so very competitive. These are run by normal doctors, not specialists. Derms are another story – there are only two available with a bit more of a wait time.
One thing I've noticed is that because our national health system (Medicare) has a sliding scale of reimbursement where the first biopsy is 100% reimbursed, the second 50% and the third 25%, they would all much rather do fewer biopsies or preferably one at a time. I didn't accept that from them, I kind of insisted on all at once because I have to travel 1.5 hr to clinic. You may find that the way your derm is working is also partly due to the insurance or reimbursement structures in your country.
Now that your mels are gone (how deep were they? I'm assuming in situ or stage 1) and you are looking at bcc and scc only, could you ring around for a 'same day biopsy' clinic and space your visits out to three or six months. Maybe even six? That way you can have your life back in between.
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