A little while back I made myself a science officer just to try something a little different (main is a tac). Unfortunately, I found myself basically flying the same ships on him as I do on my tac officer. Long story short I decided to get myself the Vesta. Here's my build idea so far.
Borg Assimilated Deflector
Borg Assimilated Sub-Transwarp Engines
This has been a reliable combo for me on my other ships and I find the hull heal invaluable. I would assume since the Vesta is rather fragile hull hit point wise that this would still be a good combination.
(Fore) - 3 x Aux Dual Heavy Phaser Cannons
(Aft) - 2 x Fleet Advanced Phaser Turrets, Borg Kinetic Cutting Beam
Normally, I enjoy having torpedoes, but with only 3 weapon slots and the fact that I will need to invest a little more heavily into sci skills I decided to forgo the torpedoes and go with full aux cannons forward. The cutting beam will at least provide me with a little bit of kinetic damage.
This is really up in the air. Only thing for certain is that I'm going phaser relays to maximize the damage of the quantum focus phaser. Speaking of which what sci skills affect the damage of the quantum focus phaser? Are the Vesta's other set consoles any good? Is it worth running the entire set?