We need a miracle

As we are getting ready for our trip to California (only 20 days to go!), I realized that we will need some serious help.
Plan is to go to Grand Canyon and Yosemite National Parks. Like in Malaysia, accommodation in the parks is limited. Fortunately I managed to book us a "cabin", i.e. a permanent tent, in Yosemite. Beside camping, there was no other options. Believe it or not, almost everything was full :(
Grand Canyon is the same, and potentially worse, story. We could book accommodation in a lodge in Grand Canyon Village... only for 90$ a night... what can I say, it's the trip of a lifetime to Grand Canyon, so we pay.
Now if you want to go down in the canyon, it takes 2 days apparently and you have to sleep down there. They won't let you go down without confirmed accommodation. 2 options: camping (not really our cup of tea) and one lodge, the Phantom Ranch.
Phantom Ranch is of course fully booked... apparently one should book it at least 1 year in advance :(
Our only hope is to keep trying by sending a request every day hoping someone would cancel their room right at the same time they are processing our request.
"Thank you for your Reservation inquiry!

Please note that this is a request only and does not guarantee a reservation. If we are able to confirm the reservation(s) requested, we will charge your credit card the applicable deposit and email you a confirmation. If we are unable to confirm your request, we will notify you via email accordingly.
Please allow up to 72-hours for processing, response times may increase during higher demand periods."

We really need a miracle there and all your positive thinking!