After carrying out quite a bit of research I've found lots of people have been prescribed an anticholinergic medication called oxybutynin for Hyperhidrosis and as its something thats very similar to blushing as in a problem with the nervous system, it may work for some people?
"The most reliable are those which block the chemical signal between the nerves and the sweat glands (an anticholinergic drug). Propantheline is the only anticholinergic drug licensed for hyperhidrosis; however, although unlicensed, other anticholinergic drugs are widely used (such as oxybutynin and glycopyrrolate)."
Has anyone tried oxybutynin for blushing?
Apparently, a trial took place where 60% of people who tried anticholinergic medication then refused ETS surgery but only a small number of them who had blushing as the main problem went on to have ETS.
NICE reccomends trialing anticholinergic's before ETS also https://www.nice.org.uk/guidance/ipg480/documents/endoscopic-thoracic-sympathectomy-for-primary-facial-blushing-consultation-document-
For people outside the UK NICE is "The National Institute for Health and Care Excellence" they provide national guidance and advice to improve health and social care.