I think there is a lot of confusion over shock length. The measurement is taken at full extension, which is not a factor of soft or hard settings. It is the piston rod fully extended to the stop. This can be measured on the bike witht he rear elevated, like on a center stand, or just take a shock off and measure from the center of the upper eye to the center of the bottom clevis bolt hole.
Most cafe builders want to lower the bike, and the most common shock is a 12 inch or 12.5 for this purposed. Sometimes knowingly, but it seems to me, most times unknowing, this affect the handling of the bike, changing the geometry of the swing arm, and changing the front front rake and trail. When combined with the front end lowering, the result is usually not considered, and often, cafe racers either have wobbles at speed, or have trouble with handling....Fat tire exacerbate this issue.
When buying an OLD motorcycle, you cannot be sure if someone has changed the shocks to a longer or shorter style.
If you look at my sig shot, you can see the angle of the swingarm at full extension....If you put a ruler on it (I did), it is exactly 13.5 inches from bolt center to bolt center. If I rote the wheel in that shot, the chain lightly touches the swingarm pivot. Another half inch would cause even more rubbing. The longer travel of a 14 inch shock would also mean the chain will need to bebe looser at full extension or it will be too tight when the swingarm is centered in it's travel. Not usre how dangerous it will be, but another factor to consider. A looser chain is even more likely to rub and saw through the swingarm pivot. Not a fast thing, but still not a good thing.
Keep in mind also that a shorter shock has less travel, and you may bottom out more frequently. Longer shock has longer travel, but still might hit the bottom of your seat loop. You need a shorter travel shock in reality, not a longer one. Less suspension travel...
A lot of work for a look if you ask me..... I always wonder why anyone compromises handling and usefulness for looks. Most brats (with a couple of exceptions) have hard seats, no fenders, and are lowered, reducing ground clearance and suspension travel, so when you ride, the dirt is on your face, on your back, the seat hurts your bum, and don;t hit any bumps with the thin seat either.
So with some exceptions, a typical Brat is not a bike for riding more than a very short time..... Not my cup of tea.
But good luck with it....I am looking for the correct length and spring rate for my bike....Looks like Hagons are the minimum shock that works properly and fits properly. The cheaper one seem to be too short, oversprung, underdamped, and really not suitable. If the shock lists compatibility with anything bigger than a 360, it has too stiff a spring, and will be as back as a hard tail. Most of those RFY shocks list a 750 as compatible with the ones for a 360. A 750 is a bit heavier Over 100lbs, so the springs will be too strong.