Full power to aux with none to shields? I'm running tac, just got 500 omega marks for a kcb, (is there a certain tier I need to be?) and am using that setup. (pretty much) I don't have really good equipment yet, but hey, I'm still pretty much a noob.
My 'tip' would be to not mistake the Vesta for an escort. While it does have excellent offensive options, it IS a science ship. If you want an escort playstyle, you will, quite bluntly, be better in an actual escort.
That said, it's hard to offer constructive criticism without knowing how you actually fly the ship or what kind of setup you're using.
I've said the build earlier in the thread, and I try to parks the ship towards my oppenent and fire my aux cannons and turrets, trying to make use of my science skills and exotic damage. I also use the photonic fleet and the high focus phaser thing or whatever it's called
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Full power to aux, use 3 aux cannons front, turrets back, get elite scores in hangar.
My PvE/PvP hybrid skill tree
My PvE/PvP hybrid skill tree
That said, it's hard to offer constructive criticism without knowing how you actually fly the ship or what kind of setup you're using.