These are the good traits: Lucky (this one is really popular), Soldier, Acute Senses, Peak Health (only second to Lucky in my book), Creative, Covert, Telepathy and Limited Telepathy.
You can check stuff on Traits and just about everything else here:
http://www.stowiki.org/Trait
I can't help but notice that few, if any, of these traits, pertain to actually crushing your enemies. You seem to be a big fan of the ground combat. Something which you also seem to admit lacks any actual relevance to the endgame.
Some optional Race traits, like Pounce and Rapture, are also good. Mind Meld is a shit trait though, be warned. It's good to check the effect and cooldown at the Wiki to be sure.
This completely does not surprise me.
If you like blasting, you have the choice between Engineer and Tactical. Engineer has bombs and an Orbital Strike, but a Tactical can buff the hell out of his weapons and dropkick with the force of a thousand exploding suns.
Specifically, I like blasting enemies. Mobs, meh. Mobs don't have lamentations, and cannot be driven before you. You can only crush them, and that's...like, only half of what is best in life. Seeing them driven before you and hearing the lamentations of their women, while of lesser emphasis, is also important.
In space, the choice will really be between a Cruiser and Escort then. A Cruiser has considerably lower firepower (but I recommend flying one Tier 1, a Science Vessel Tier 2 and then switching to Escort) than an Escort. Escorts are the ones that make Space light up with 'splosions everywhere they go.
How good are they at not exploding? They have high damage, but is their mobility sufficient to compensate for their lack of defense? Not exploding is also very important. Otherwise you're just a kamikaze pilot, and that...probably doesn't achieve any useful long-term goal, unless you can really annoy the shit out of people with it.
Basically, what setup has the fewest weaknesses that I cannot cover through personal skill?
PS: The thing with Min-Maxers is that they will look to the most minor space-boost possible (PvP is really space-oriented here, but suffers a bit in terms of balance due to Cruisers and Science Vessels due lacking in firepower needed against player ships), which can be something as silly as a single point of power.
Aha. See, this is important! Power is a thing, then? Talk to me about this. This interests me. While it may be true that ground bonii have greater effect, it is also the case that PvE is a thing that is meant to be beaten. Defeating a thing that is meant to be beaten is a meaningless achievement. Crushing enemies, this is what matters. This is what is best in life.
Generally it's better to take the more beneficial Ground traits, since Ground combat is a lot of fun and Traits matter more in it.
Fun. Pssh. You kids and your "fun". Talk to me about crushing enemies. I want to hear more about that. You mentioned that PvP is really space-oriented, then you immediately suggest something that has absolutely nothing to do with this. Yeah, let's hear about crushing our enemies, seeing them driven before us, and hearing the lamentations of their women.