I've had a similar situation twice while steering a trip boat in Edinburgh. In both cases, the removal method was to get the tyre bead over one of the prop blades, then force the tyre downwards and off, after putting a rope through it to recover it afterward (Sounds simple, but 45 minutes the first time, and 25 the next) I was lucky in that there is good access to the weedhatch from above, so forcing the tyre down could be done by kicking and hopping on it while wearing a welly boot.
If the same thing happened in Copperkins (trad stern, and weedhatch reached by crawling under the back deck), I don't see any alternative to geting wet or using a lock as described above.
Most tyres these days seen to have steel reinforcement in the sidewalls as well as the tread, so are a real B to cut
Iain