I am not sure what is the reason for your build picks. Personally, I consider two items bad choices:

• Deathfire's Grasp is usually taken for its active. Since you won't have huge AP, its damage is much lower than, let's say, Veigar's. For cooldown reduction, Youmuu's Ghostblade is a better choice.
• Black Cleaver is an item I only like seeing on Twitch because of his on-hit effects being splashed by his ulti. Bad choice against tanks, too weak. Against squishies, Trynda kills them in 3 hits anyway, making the debuff never fully applied.

You should get your crit chance to 100% as well and you don't need runes for it. My "trinity" of items is Infinity Edge, Phantom Dancer and Youmuu's Ghostblade. It gives you serious damage with 100% crit chance combined with Battle Fury innate.

I think your choice of Nashor's Tooth is a good one, I wrote my own Trynda guide as well, where I use it as well. It should have most of the upsides of your build, while having almost no big downsides. It also features some situational items. Take a look at it, I think it might be fun for you to try, since you were trying to get similar results.

Thanks, I will edit it!

You could add Nashor's Tooth onto the build, because the Stinger builds into that!