It's true you'll spend more time flying and fighting outside of the bridge. But if that "thing" gives you joy that strips away other consideration, then go for it.
Myself as an example: I play a Sci toon in a Cruiser for solo play - and an Excelsior to boot. I am sure there is "better" for me to play with. But I don't let stats define my solo game-play: I go with what I want and will have fun with. In groups, I want to make other choices (my DSSV thread here will show that).
I finally have enough saved to buy one of the three-packs. Reading the descriptions, the Vesta set sounds great, I love that it has hangars... but I want that Odyssey bridge!
Really that's why I wanted that ship. I played with it a bit on Tribble, it was a good ship, but all that falls way under the impact of that bridge.
As cool as the bridge is, the Vesta's just more fun to fly in-game.
You want to visit the bridge? Fire up Tribble and see it there. You want to play a fun ship that does a ton of cool stuff? Get the Vesta. You've got aux cannons to toy with, a science ship that can equip any cannons, different pets for your hangar, a BOFF layout to choose from that utilizes science powers, three distinct consoles, and when you use all three consoles, a perfect armor bubble of protection power.
lol simple. ask yourself this "at the end of the day which would bring you the most enjoyment from the game." then make the decision, simple as that.
look at all the ppl that either love or hate the bortras, me i love it for a couple of simple reasons the big honking bridge windows and the feeling that if those little ships don't get out of the way they are going to end up as hood ornaments
My first thought for you OP is this: The Vesta does not tank as well as the Odyssey and has a bit less DPS but much higher Spike damage. Also the Vesta is notably more busy and difficult to fly correctly whereas the Odyssey is very forgiving and easy to fly. Both can be great support ships, both can deal some impressive damage, and both can hold their own in a heavy fire fight (especially if the Vesta uses the Shield Repair Units as Fighters).
Either way, I would highly suggest being a Tactical Captain for Either.
At the end of the day it really depends on what your heart says, but...
IF you are a Sci Captain, the big advantage of the Vesta IMO are her Aux-Powered front Cannons. No need to juggle power allocation, just keep Aux Pwr to full, have max effect on your sci abilities and still do pretty decent damage (though far from the Max DPS builds I've seen around here)
Add to that the possibilities the Hangar slot gives you and you get a pretty versatile Vessel.
Add to that the consoles, each of which is great by itself and the Set Boni are fabulous...
I use the Oddy on my Engi char and the Vesta on my Sci, though in hindsight, if I had to decide on which one to spend 50 Bucks... Vesta for me everytime, thanks very much!
On a side note... If you decide to go for the Oddy, I'd think twice about buying the whole set. The 3-console bonus is nowhere near worth it clogging up 3 console slots (of which you can only use one at a time) and while it's nice to be able to switch between a Tac Oddy with Saucer sep console on single missions and the Sci Oddy with Hull repair Bees for STFs it's not really worth it.
My Engi got comparable results in the Anniversary Ambassador Retrofit and while the Oddy is a true Beauty (and oh yes the Bridge is sweet!), I'll prolly be phasing it out for a Fleet Excelsior on the long run for performance reasons. That Oddy turns like a pregnant sow on ice.
I can't really agree with hasukurobi's statement that the Oddy was easy and forgiving to fly... on the contrary... handling is so poor you have to pay close attention to where you're going, for it will take you ages to do a turn if you overshot your designated target.
90% of the time I'm using evasive maneuvers on the Oddy it's to get the damn thing to turn and get to where I'm supposed to be in time, rather than running from someone.
Best Pay Ships available atm IMO:
Sci: Vesta set
Eng: Fleet Excelsior or Fleet Assault Cruiser
Tac: (Fleet) Heavy Escort Carrier