There is a phantom Burning Scalp Syndrome that makes you feel like your scalp is crawling all the time.
This may not be down to medication on your scalp it’s a nerve pain issue.
I treated my with an every day Periton type hay fever drug as it’s your body attacking itself .I then added propanalol that you need a prescription for in the uk anyway.
Burning scalp does cause hair loss unfortunately apparently but it’s generally temporary.Good luck with it.I do take oral Minoxidil but this hasn’t started another flair up 2.5 mg a day and 1.25 mg of finestrinide and use minoxidil liquid that i have been on for over 36 years I started at 22 and now i’m 58 and still have a decent head of hair