This is where you're wrong. Parrrrley applies ON HIT effects, thus you'll proc your Sheen/Trinity Force when shooting Parrrley and getting the 100/150% dmg boost.

So, this build's earlygame items need to chance. Sure i can understand the manaregen stuff and i can live with the philosopherstones, but after that going for averics??? no just wont work. You spend to much gold on gold/s items to be of any use at all. Also a trinity/Sheen is a must on him since the proc effect goes of witht he shot(aka u boost the shot with 100/150% of your AD)

I've gotten my IE at 20 mins with 0 kills from the enemy, and I feel that trinity force with gangplank is useless because that requires you to actually go HIT the person, which is the play style you want to avoid with this hit and run build. trinity force only adds 30 damage to gangplank, if thats the case id switch it with ghostblade if its to your playstyle to get the extra CDR and 100% crit too. I don't know how you play GP but I've never had a problem with 3 avarice blades, because rushing IE might give you a bit of early damamge but your base crit is still only 20%, rendering you useless most of the time until you get a PD.

Thanks

I allways say that Sheen/Trinity force its a must have on GP. why? Epic critical hits with parrley (sheen effect works with the shot) this, added to Crit. Damage Runes and masteries, and Infinity edge... I think that can reach the best critical in the game. Your build isnt bad at all... but is just a random build for any dps like tryndamere yi or ashe...
IMO, spaming avarice blades SUX... in early you will be very useless... Its a great build if you start the game with 30k gold... but you need a BIG farm and need to be very FEED by the enemy to get good use of this build.