Trying to balance Kog as the centerpiece ADC in Solo is an effort in futility
Because unless something pretty drastic happens, Miss Fortune is going to be a better champ to build a team around.
The reason is pretty simple. Constantly peeling for and protecting Kog is hard. The agency is all on the shoulders of Kog's allies.
Using one AoE CC Ult so that MF can chain it together with her own R is easy. The agency is primarily on MF to use her Ult at the right time.
Trying to balance the risk/reward for Koggy in Solo queue to be on par with a champion like Miss Fortune will be incredibly difficult and likely result in Kog being over-tuned in highly organized games.
So allow me to suggest something totally different.
There's another way to play Kog aside from balls to the walls glass cannon that embraces the fact that he's going to get pounced on by the enemy team and there's absolutely nothing his player can do about it. The change to his W scaling, in fact, supports this particular build-style quite well. I speak of the path of TanKoggy. Not pure tank, of course. Rageblade, Wit's, and Mallet are all core offensive items. But the goal is to balance offense and defense to the point of turning Kog into a living turret. He's about as mobile as one, so why not build him like one? Sure he loses a little bit of damage, but when you're three to four times as durable, does that really matter?
Riot turned Graves into the game's Fighter/Marksmen. He's got the defense, mobility, burst, sustained damage, and solid CC that we've come to expect from diving Fighters. But the guy is still a Marksmen through and through. So why not admit Koggy has moved in a similar direction? What I'm proposing here is that Kog already is the game's Juggernaut/Marksmen.
He's the Darius of ranged champions. You either dive and focus him, or you get eaten alive.
Riot could support this, easily. It would be an absolutely unique niche for Koggy to fill, and one he already does well (hell, he did it well back when his Q was a flat resist shred, too). Kog would need two things to support this play style fully. The first is a new Innate that helps keep him alive in the thick of team-fights. Some form of health stealing would be totally thematic for a champion that's all about eating things in his Lore. The second is a duration-extension on his W when he manages to score a kill or assist so that he can keep up the momentum of a winning fight. Bio-arcane Barrage shutting off in the middle of a pitched battle currently means Kog has just become dead weight, and that needs to go.
I know it sounds weird. I know the knee-jerk reaction is to balk at such a strange idea. But after thousands of games as Koggy I can safely say that this is the most viable way to play him right now. All Kog needs is a little push in the right direction to really shine.

since Kog already did a crap ton of damage with his base damage, W and sheen proc spell weaving. His damage output with a defensive build with 3 damage items is comparable to early game ADCs going 4 damage items.