Missed the edit window:
Also, it would be a waste of energy to use their anti-matter engines to propel them around when they could use their impulse engines instead. Why would they need to exceed the speed of light on a planetary surface?
Fry: How many atmospheres [of pressure] can the ship withstand?
Farnsworth: Well, it’s a space ship, so I’d say anywhere between zero and one.
OK, given the weapons and limitations in the OP, the Enterprise doesn’t stand a chance against current militaries. The only weapons with over-the-horizon capabilities there are the torpedoes, and the OP is giving them effectively zero range. Meanwhile, the only defense the ship has against over-the-horizon weapons is using all those lasers for point defense, and it’s not going to be tough to throw enough at them to overwhelm them. Or you could just use kinetic weapons, against which point defense is useless: We don’t have any battleships any more, but I’m sure that there’s some naval gun out there somewhere that’s big enough to penetrate a spaceship hull.
On the other hand, if you leave the ship with impulse engines and life support, and at least one computer (including one of those little handhelds that they treat as effectively disposable), but strip away literally everything else (no weapons systems whatsoever, no warp drive, no transporters, no shields, etc), then the ship can conquer the planet, without ever breaking a sweat.
Bachman Turners on “overdrive.” 
And shunt all power to the Heisenberg compensators!
Wait, original 70’s Galactica or reboot Galactica?
I was going to ask if it was the Benedict or Sackhoff Starbuck, but my suspension of disbelief was ruined when I realized neither of them were virgins, and thus would have no business riding a space unicorn. Obviously.
What, Benedict Starbuck did Cassiopea? :eek: :dubious:
That would make a good thread actually.
Dude Robert needs to be hired by Blizzard. I’d like to play his scenarios in World of Warcraft.
Around 100 years - Enterprise is set in the mid-22nd century, TOS in the mid-23rd. According to Memory Alpha, Archer remained in command of his Enterprise until at least 2161, and Kirk took command of his first in 2265.
Only 100? I stand corrected!
I perceive a small technical problem. The NX-01, just like NCC 1701, had it beam weapon array on the underside of the saucer. So, if you have that thing floating in the ocean, what happens if you fire one of those energy weapons underwater? I cannot imagine a way that that would not turn out badly for just about everyone.
Throw in a few tins of Old Bay and some beer, and you can chow down on a nice seafood boil! 
I guess I’m not as creative as you. How does it do this? Accelerating objects attached to the ship I could see, but I don’t know how they’d be attached or removed with your restrictions.
I’m guessing it would be fairly easy to weaponize the ‘exhaust’ of the impulse drive, which is plasma?
I was assuming that a functional life support system would include at least one working airlock. Put rock in airlock, open outer door, accelerate ship to put rock on collision course, accelerate ship again to move the airlock away from rock so ship isn’t on collision course. Repeat as needed.
No, it will just create lots of steam and lessen the weapons effectiveness slightly. Also, the NX01 is floating on it’s nacelles, not it’s saucer. The saucer is floating in the air, mostly dry, except for the odd bit of ocean spray.
That’s still an awkward position for firing from, especially if your target happens to be above you.
Oh? Not unless it’s upside down.
ISTM that the saucer has the greatest surface area and would displace the most water. And the nacelles are above and wide of the saucer section. It would float on the saucer, leaving the nacelles high and dry.
Seriously, if you don’t know that much about Star Trek, expect to find yourself schooled here.
As I recall, the NCC 1701 was flipped over for the series, originally intended to have the Jeffries tube struts ascending to the part with the swimming pool and bowling alley. Given that NX-01 is purely a retcon, one could theoretically argue for upside down. Perhaps its artificial gravity would be sufficient to make that feasible – it would certainly improve mobility.
Well, I took a few screenshots from an old star trek game that was laying around. There is a tiny little bump on the bottom of the saucer which could hold the saucer up in clam waters.
It is also shown to have some sort of bump on the top as well, perhaps as a watch tower for the crew or to launch missiles or a hardpoint for guns?