I agree that the axial construction will have serious trouble with heat removal in the form used here. Core type machines have direct transfer of heat to the teeth and will be far better cooled.
I am not so convinced about a simple motor conversion being entirely suitable. What you need is a low speed slotted core construction. If you think of large industrial alternators then the high speed turbo alternators are long and lean whereas alternators for hydro are very short and large diameter.
The sort of motors you are likely to find are all relatively high speed machines and the proportions are not right to make a very low speed pmg. Even if you took a very large motor and used a portion of the core pack and got the right proportions you would still be left with slots that are far too deep for the multi pole magnet system.
I think you will need to use a conventional motor conversion with a gearbox or you will end up with an absolute monster if you directly couple it unless you go to the extreme trouble of producing a suitable core pack. You need to be looking at very large pole numbers. Conventional motor cores limit you to about 12 poles maximum and even then the slots are far from ideal even if you start with a 6 pole motor.
Although the cooling is far better I think the motor conversion will be larger and far heavier for the same output unless you can get the correct core. It may become reactance limited with deep slots and lots of leakage flux and may refuse to load up with increased speed.
Even the torus with or without slots still needs a core that is difficult to produce on a one off basis. Large one off machines are difficult to produce on a cost effective basis.
For your nominal 10kW on a short term basis it may be safer to stick to an axial, keep the diameter and number of magnets up and make a better effort at cooling the stator. With it loaded efficiently the heating is far less serious than with the bogged down into a battery connection.
Using a gearbox and motor conversion will get you there quickly with good results but you may regret it in the long term, gearboxes have proved rather troublesome for wind power with speed increase and high instantaneous loading.
Flux