Assuming they could afford to do so, is it not possible to buy an artificial heart and schedule surgery? A quick online search shows there definitely are companies that make artificial hearts even if only to bridge the gap till a donor is found.
Obviously it doesn't guarantee the cancer hasn't spread, there won't be potential complications during surgery, or any other complications down the road... but there can't just flat out be zero options, right? I know certain organs just can't be replaced, but the heart? There's really no mechanical alternatives?