It seems like it's not uncommon for other performers to do Neil's songs better than he does himself. He has some great songs, but I've never quite warmed up to his voice itself.
But yes, give it another go with a better camera. It sounds like you've got yourself a winner.
Another Neil song you might want to try is "After The Gold Rush". Melodically, it's simply beautiful. I prefer to do it a step and a half down from the original key of D, which K.D. Lang has done, as well. But, of course, you can experiment with the keys to find what's most suitable for you.