I kept using treats on Paddy and one day it just dawned on him that being brushed was niiiice - and now he falls asleep.
I tried the ironing board but he was doing Kamikaze jumps off - caught him each time, luckily! So now I sit on the floor on a cushion, put Paddy between my legs on his side, do that side, turn him over, do other side and he snores away - and no treats needed anymore, although I treat him at the end of the session.