I want to dye a white blanket navy blue
I think that would fit inside an 8-oz vegetable can, although you may need something bigger to get 12 volts from the batteries I built a cloud chamber years ago - you may also want to check into that.
Make sure the blanket isn't made of polyester which does not accept dye very wellIf it's cotton, rayon or any other natural fiber it will dye fine but thigs you dye yourself (especially blues) tend to fade fairly quickly just from washing normallyIt helps if you put lots of salt in the water when you dye it but it will still fadeBlues just aren't very colorfast.