Thanks for the input, guys. The point of this encounter is not to actually threaten the players, just give some spice to the event.
For details, the group got their dropship out of a swamp and didn't completely fix it as well as they'd hoped. They're going to discover that they are losing atmosphere a lot faster than they bargained on, which is why they're going to end up on planet. Then from there collecting the needed supplies will involve stealing from the locals who have violently xenophobic beliefs and no common language with the players. So they'll be best served walking through the wood and stone castle walls to take what they need.
Use the Mechs as a distraction, plus only grab from those that attack. If the peasants run after your Mechs, lead them on a merry chase. If the knights want to keep up, see if Mech-grade Flamers can be turned down to just cause the metal to heat up slowly. If the attackers have to cross a bridge to get to you, let them, then destroy the bridge so you can go around them.
There are going to be some people that aren't as violently xenophobic, so you leave them alone. That will hopefully encourage that group to tell the others "We defended our homes, they ran out to attack. They are dead. Perhaps this is a sign?"
Use your infantry to spy out the land, and see if there are any rebels or people who aren't as xenophobic. Try to rescue them?
Don't steal all the food from a village, you need to leave some so they don't starve.
The best way to defeat a castle might be just breaking the first gatehouse. Now the defenders are semi-trapped inside while your troops can go around the countryside.
If the local frothing maniac has a moat to keep you out, your Mechs are great Earthmoving equipment. Either fill up the exit of the moat to make it flood, or dump a bunch of rock upstream of the moat to make a dam and divert the river.
Mechs can walk underwater. If the River near a castle is deep enough, have the Mech go underwater with a shovel and dig out the stone under the castle walls.
Keep the Dropship buttoned up, and only open it when there is enough anti-infantry firepower to deal with a sudden rush from any nearby forest.
Fluid guns attached to giant tanks of water? Each ton of water carried gives you 20 shots, and that should be enough to wash away any opposition. External cargo can be used to extend this time.
What is the crew trying to grab? More oxygen? Metal parts to patch a hole? Life support supplies (water and food)? Those will also be factors that will affect where they raid to.
What season is it? That will affect what is available