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Well, since I absent mindedly bumped this topic and have this Archetype on my brain , any thoughts on getting Ace Trip at level 2? It offers a nice level of utility, but pushes to much back when I think about it.

Have an idea for the character's build. Feedback​ is appreciated. I'm imagining a human would look something like this

20PB:
Str:14
Dex:16+2
Con:12
Int:10
Wis:15 (Bump at 4)
Chr:07

Feats:

Lvl1: Distance Thrower
Lvl1 Monk bonus: Far Shot
Human Freebie: Precise Shot
Far Strike freebie: Quick Draw
Lvl2: Point Blank Shot
Lvl3: Weapon Focus (???)
Lvl5: Iron Will (Filler really)
Lvl6 Monk Bonus: Improved Precise Shot
Lvl7: Martial Focus
Lvl9: Ricochet Toss

Don't have anything else. The idea is to always be throwing. Level 1 has you throwing Shuriken 30 ft, Spears at 60 ft and Chakrams at 90 ft with no penalty. One more penalty is only one hit to accuracy.

The goal is the get a baller chakram and harpoon/trident/spear (For CQC). Thinking about perhaps another race (Half orc or Dwarf) for save purposes. I'd forgo PBS for Far Shot in that case. A Dwarf could grab steel soul at 5 actually. Less Dex (1 point till 4) for better con and way better save.

Dwarf PB:
Str:14
Dex:17
Con:12+2
Int: 10
Wis:14+2
Chr:07-2

For the human feat you do not have pbs so you couldnt get percise shot.

So if we are doing this by rules for Fast Bombs.

Benefit: An alchemist with this discovery can quickly create enough bombs to throw more than one in a single round. The alchemist can prepare and throw additional bombs as a full-round action if his base attack bonus is high enough to grant him additional attacks. This functions just like a full-attack with a ranged weapon.

The part they mention that is up to debate is FULL-ATTACK WITH A RANGED WEAPON. Which means that with Rapid Shot you should be able to.

Benefit: When making a full-attack action with a ranged weapon, you can fire one additional time this round at your highest bonus. All of your attack rolls take a –2 penalty when using Rapid Shot.

Haste also states that it must be used with a manufactured or natural attack which means if a bomb is made its manufactured. And it's with a full attack action and so it should be counted then.

When making a full attack action, a hasted creature may make one extra attack with one natural or manufactured weapon. The attack is made using the creature’s full base attack bonus, plus any modifiers appropriate to the situation.

TWF is up to you guys because I believe that making a bomb would take more than one hand. And if any of you argue otherwise is up to your campaign to make the final ruling.
http://www.d20pfsrd.com/feats/combat-feats/rapid-shot-combat-final/
http://www.d20pfsrd.com/classes/base-classes/alchemist/discoveries/paizo-al chemist-discoveries/fast-bombs/
http://www.d20pfsrd.com/magic/all-spells/h/haste/