Radioactive material generates heat from decay, which is then exploited by RTGs to generate power; there is no similar reaction for antimatter in suspension, anti-deuterium doesn't just generate power
Fissionables are a one-trick pony: they are radioactive, a property nevertheless utilizable in multiple ways in RTGs, fission reactors and a number of other setups. Antimatter is a similar one-trick pony: it annihilates in contact with corresponding matter. Surely the annihilation can be made to happen in circumstances other than a "warp core" with its famed directed jets of reactants, dilithium foci and resulting warp plasma - I mean, it's darned difficult to keep it
from happening in the general case. A "leakage-based" reactor quite analogous to an RTG could be rigged, in which the valve that normally lets out the fuel into the warp core now allows a bit of it to annihilate in a chamber that gathers the resultant energies and feeds them to the containment field.
Failing that, just rig an RTG to keep up the forcefield, which might not require much power to work. Most Trek technologies seem to call for a flashlight battery or at most two... (Almost literally - lights fail before artificial gravity does!)
They simply need to have more velocity to reach escape. I.e. more kinetic energy, which they obtained by the drop.
That won't work, of course - any energy gained would be lost in the upward travel, so that it would be zero again when they reached the level of the mountaintop.
Why would the ship or its components need speed? If the ship is supposed to get started in space normally, she will have to do so
without speed, because in space there's nothing to compare the speed against.
Perhaps the ship needed acceleration, or more exactly lack thereof? Some components might not activate properly unless in zero gee (say, the plasma stream in the nacelles might droop and fail to hit its target), so Sulu had to keep the ship in freefall until said components flashed green, then activate the components, and with them activate the onboard gravity control systems that would make acceleration issues irrelevant.
Timo Saloniemi