Was just washing my hands and face and I had a thought...
could it help to leave soap on your face and in your nostrils? Even if it dries out it could reliquify if it transfers with the virus to your mucous membranes.
Also, I keep forgetting to mention this but I'd prefer dish detergent or regular soap over antibacterial soap. Not just because viruses aren't bacteria, but because they have bactine in them, which leaves a protective film on your skin rather than washing clean. If the film itself doesn't wash away from the soapy water then perhaps it could harbor the virus. Maybe it breaks down the lipid envelope too, I dunno, but it seems to me that regular soap is a safer bet.
Maybe I'm barking up the wrong tree here.