Dear RandW,
What a disappointment for your intended recipient and for you. We're all altruistic donors here. The challenge you're facing is that your intended directed donation is no longer possible, and you are now considering being a non-directed donor. However, you're preferring to be a directed donor without knowing whom to direct your donation to. That's understandable, but as Fr. Pat points out, there are a lot of ways to go about this.
Another possible approach you might consider is contacting a local transplant center, asking to speak to their donor advocate, explaining your situation, and asking to be considered the initiating donor for a chain. That way, even though you don't know the individual you're donating to ahead of time necessarily, you're the causal agent for two, twenty, or more transplants. Individual characteristics of the recipients will be less of an issue for you in that situation, won't they? Best wishes.