The pump power is going to be one of the least of your problems.
The problem with putting a coil in a wood or coal stove is that there is no control of the temperature.
Water boils at 212 F, meaning that the steam pressure at 212 F equals atmospheric pressure of 14.7 psi absolute.
At 350 F, which is well within the range of a fire in a wood stove, the gauge pressure is 120 psi. That is much greater than the pressure of your water supply so the steam will force water back into your supply system. In a hot fire of 450 F the pressure will exceed 400 psi and there is considerable danger of bursting copper piping and/or failing solder joints.
The relief valve will prevent overpressure but that will dump a lot of hot water in an uncontrolled way.
The temperature/pressure relief valve in a water heater relies on having the hot water at the temperature-sensing stem, which will not be in the hottest part of the wood stove.
The safety issue is why many residential wood-fired boilers use vented (atmospheric pressure) tanks that can't build up any pressure. You could safely run the water-heater coil through such a tank, but it is not safe to simply put it in the firebox.
A tankless coil in an oil-fired boiler works because the boiler has a temperature control that limits the heating and the tankless coil is immersed in the water of the boiler.