I am not sure what you mean by; "if I just organize a collection" but to me it seems like you might have to go back online to xbox.com or wherever and re-submit all of your forms so you can get another shipping label that will yet again expire in another 10 days.
my whole RROD experience took me 8 weeks from break down to receiving the refurbished model back from MS.
I hope you have another system around to keep you company.