Gunslinger Build (Lv. 10-200)

Edit: About your calculations on basil, the shots per second for invis 30 and Burst Fire should be .6818. Invis is at .66 which is wrong and Burst is a .69 which is just rounding but, I think its a big enough difference.

Tick counts. In the world of game coding, there is no such thing as .6818 repeating.
http://www.southperry.net/forums/showthread.php?t=3217

On the subject of Burner/Cooling vs Torpedo, Torp wins hands down. Even spamming Air Strike with nothing in between cooldowns probably gets you higher DPS than Burner/Cooling+Amp, assuming you hit the same number of monsters with both (which is actually probably easier to do with Air Strike).

I also thought of something else. What about maxing Air Strike first and spamming it at a place like CGs?

Cannon DPS: 380% * 4 / .66 = 2303%/s
Air Strike + Triple Fire DPS: (1200% * 6 + 210% * 3 * 6) / 5 = 2196%/s

This way, you won't have to worry about your Ship breaking every three seconds during the first few levels because you don't use it regularly using such a playing style, and then when you do start using Cannon it'll have plenty of HP from level ups.

Edit: Then again, Air Strike 20 is an HT book...