Use a two path exhaust pipe with flaps to route the heat through the exchanger or not. Another possibility is have the heat exchanger near the exhaust pipe and use air heated by the exhaust pipe to blow through the coolant heat exchanger.
That would need something like an "air stove" around part of the pipe, similar to the old heat risers that used to be ducted to the air filter housing with carbueretors. Probably would need to cover more of the exhaust pipe. A length of double wall pipe, with the gap sealed at the ends and a fan blowing circulating air around through the space between the pipes and the coolant heat exchanger would allow for cutting off the heat.
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