Ex, you have just described a complicated version of a fluid to fluid heat exchanger. Quite a few cars have been built with fluid to fluid heat exchangers for engine oil, including my 1995 GMC S-15.
The heat exchanger should see higher coolant flow than you get from the heater core, so that's not a real good location.
You normally don't need a thermostat, because the coolant heats up faster than the oil anyway, so that helps get your oil up to operating temp with no extra complications. If you live in a real cold climate, plumbing to allow you to heat/cool your oil with coolant that just came out of the engine might be useful.
Trans oil should run cooler than engine oil so the heat exchanger should use coolant that has already run through the radiator...opps, that's what virtually all production cars already do.
The heat exchanger should see higher coolant flow than you get from the heater core, so that's not a real good location.
You normally don't need a thermostat, because the coolant heats up faster than the oil anyway, so that helps get your oil up to operating temp with no extra complications. If you live in a real cold climate, plumbing to allow you to heat/cool your oil with coolant that just came out of the engine might be useful.
Trans oil should run cooler than engine oil so the heat exchanger should use coolant that has already run through the radiator...opps, that's what virtually all production cars already do.