My shed roof and the neighbours have linked roofs and we are about to take the corrugated asbestos sheeted roof to our local recycling yard at a cost of £44 or less between the two of us.
Quote from Bristol City Council web site…
Asbestos and plasterboard
Asbestos
Cost £11 per sheet or bag.
We’ll accept up to 1 sheet or 25kg bags of bonded asbestos per week. All asbestos must be double wrapped in polythene and sealed with tape.
Maximum sheet size of 10ft (3m) x 4.5ft (1.5m). A sheet of asbestos is a small domestic roofing sheet or similar.
You must not mix bagged asbestos with any other waste. We can only accept cement bonded asbestos. We will not accept unwrapped asbestos.