There is an actual brand called "schoodie" http://www.schoodie.com

Its a copied design completely....

I think it's a great idea but i think you have been beaten to it.

http://images.google.com/imgres?imgurl=http://miamariafashion.com/Amy_scoodie_shoot_288.jpg&imgrefurl=http://miamariafashion.com/product.html&usg=__s49YF5i24Gk9GYD3li0lcAxo5co=&h=600&w=450&sz=43&hl=en&start=5&um=1&tbnid=12mrVjBkNKR5_M:&tbnh=135&tbnw=101&prev=/images%3Fq%3Dscarf%2Bhoodie%26hl%3Den%26sa%3DN%26um%3D1

http://trendsupdates.com/beagle-scarf-hoodies-designed-for-autistic-children/