You could plug the hoses going to the heater core, refill with coolant, and worry about the expensive heater core leak repair later.
Edit: I read that it’s better to bypass the heater core with a short piece of hose. I suppose it depends on the vehicle. If your vehicle shuts off the flow with a valve when you turn the heat all the way down then capping off the hose connections should be okay. Blowing out the remaining coolant in the heater core with air may make life easier in the future.