The typical list of trades for asbestos awareness training includes building, demolition, electrician, plumber etc. etc. However a fire risk assessor goes poking around trying to ascertain if compartmentation is fire proof and undoubtedly comes across 'Asbestos Containing Materials' all the time.
Fire risk assessors should surely have asbestos awareness training. However it doesn't have to cost the earth even though the HSE says you should be retrained every year.
Just visit this site for cost effective training for a one-off payment Asbestos Awareness Training DVD