The Service Six is particularly suited to personal protection/carry use with its fixed sights. My first handgun was a 6" Security SIx, after a few weeks of deciding which barrel-length to get. The gun was meant to be a do-all gun, to include personal protection, but precluded convenient concealed carry. The 4" I eventually got worked much better for that and wasn't too much of a compromise for target use at 25, 50 and occasionally at 100. The 4" barrel kept me from getting bored with target results anyway.
The most recent Service Six I had was a 4", but I now (and for a long tine) prefer 3" in DA revolvers, because if I shoot past 50 yards these days, I'm wasting ammo with a revolver. I considered cutting it to 3" but sold it instead, because it would be to much work to re-install the front sight. Not long after that, I ended up being convinced to remove an integral front sight on a Charter Arms revolver and installing a new tenoned front sight, just like the Rugers use anyway, so maybe I should have kept it.
4" is a hard barrel length to beat for versatility. If I were going to do a 6", I'd want adjustable sights. If a fixed-sight gun is off by an inch at 25 yards, I can make up for that easily. I'd only want a longer barrel to shoot farther and that inch at 25 will theoretically be at least two inches at 50.
Note too that the 6" barrels had a ramp for the front sight, and that the extra height might not work well with the low fixed sight on the Service Six.
Anything's possible. What a fella wants is what he should try for. If someone could regulate the ramp height (or remove it), you would have a unique gun with pretty nice handling qualities. If traipsing about the mountains in a buffalo robe, the extra two inches would make the gun "hang" better tucked into your sash.
EDIT: If you want to make it really unique, cut an extra inch off the six-inch barrel. 3" guns and 5" guns seem to be sort of a sweet spot for me, but the 3" guns carry much better and don't give up much to the 4". I'd likely not dedicate either to silhouette shooting anyway, so 3" sort of rules in my DA options.