To my knowledge, the location of the bite doesn't determine the location of the rash (I think I read patsy10 say that). Since I don't recall a bite and didn't have an EM rash, I'm not an expert.
I've had other rashes/skin problems, mostly since starting antibiotics. My LLMD is really good about not making me feel crazy about any of my Lyme symptoms. Since my rashes can come and go, I take pictures of them and show them to my doctor at my appointment. Hopefully, your LLMD will take you seriously and you can ask about it. Lyme and co-infections can cause rashes/skin problems other than the famous EM rash.
I haven't had what you describe above but I get weird rashes all the time.
Do you get hives especially round your neck?
.I have had them on my arms chest , , neck, dermographism, I have treated them as an allergy, spent a fortune on allergy treatments to no avail, ....Darn it I bet it was that Ticks fault.. all these years of thinking I was something else...I have definatly had times when it hasnt been there, a remission I mean, could have been the sporadic antibiotics for other things like the ear problem a few weeks later after the bite . Interesting ..where do I go from here.. sorry I am thinking to myself.