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Sorry to hear you having issues...
Yes you can bypass the heater core, you just will not have heat. Passenger side of the engine (top) you will see 2 hoses going into the vehicle, just put a U hose to make it go back to the engine...
If it's a D1 you can put in a 'U' shaped hose to bypass it. I did it in a pinch when the pipe from the heater on my '95 failed, until I could get the core replaced. Drove it like that for about a year.
Just go to a NAPA and they'll likely have what you are looking for. It was a 'J' shaped heater hose from something and I just cut off part of it.