There is normally connectivity between black and green, as all the bulb filaments make a connection pathway. Normally, the bike draws about 10 amps and @ 13v this represents a resistive continuity path of 1.3 ohms. A “short” would show a significantly lower resistance, but few test meters will show much accuracy, or even truth, in attempting to read lower resistances. Do you have access or know how to use a millimeter?
Is your fuse blowing in center of fuse? Or, near the ends of the glass? The latter is unlikely an actual over current.
If you do have a consistent/ persistent short, one technique of locating is to wire a 12 bulb to the fuse terminals. A true short (key on) will have that wired in bulb glow bright. Then you wiggle various bits , turn bars, etc., until it goes dim, indicating short located.
Cheers,