They've given it to organizations before (Doctors Without Borders won in 1999). Give it to Pfizer, Moderna and Oxford University then. Or "front line COVID-workers" or something. Exactly who gets it is not the main point, the main point is rewarding this incredible achievement in medicine (both the science of it, but also the work in testing, manufacturing and delivering it to patients).
MSF won the peace prize, not a science prize. Science prizes have not gone to organizations; if there were ever an opportunity to break that tradition it was with the discovery of the Higgs (the 2013 prize) and they didn't.
I've really been holding out hope for K. Karikó. She put up with such monumental struggles. Obviously the MRNA Covid vaccine is a huge "prize" and vindication for her, but I'd love to see even more. She deserves it.