Ah! Actually I had a thought about that, too.
I figured that none of our mechs would be prepared for a drop, right? No one was planning for the disaster, after all. So how do they survive?
Well, I was thinking that we're all travelling on a space plane - one of those planes that basically goes straight up, follows the turn of the Earth, then comes straight down, and get you from like London to Sydney in 30 minutes. This plane is carrying a bunch of shipping containers (and our mechs are in one each) - similar to the standard shipping containers used today, but with a twist.
In the event of an emergency, these containers are designed to be jettisoned. But of course... you don't want them to hang around in orbit and smash into the space station(s), and you really
don't want them to fall down to Earth: a 50 tonne container falling from orbit would be like punching the Earth with the fist of an angry god.
So the containers are designed to survive a hot reentry (which slows them down significantly), then deploy parachutes to land "softly". This design not only prevents a massive catastrophe from a full-speed impact, it also makes the container more-or-less salvageable, and
in a pinch they can serve as escape pods from a doomed ship. (They would even deploy floats if they hit water, not that that would matter in our case (unless someone wants to land on water
).) It wouldn't be a comfortable descent or landing, but you'll probably survive.
That's how our mechs can survive the fall from the plane. The containers survive reentry, and then deploy their parachutes, and land "softly". They're not shot out of the sky by any hostile forces because of my character's mech's ECM systems. Then we all emerge from our busted up containers, and take stock.
Of course, we have no idea where we're going to land until we do. But on the flip side, the enemy has no clue that 3 mechs were dropped into their territory: all they "saw" were dozens of massive shipping containers that could have been carrying cars or playstations for all they knew. That's why we're not immediately swamped by their armies hunting us down - the first enemies we run into have no idea what they're walking into, they're just investigating. (Of course, the enemy will figure out that there's a bunch of rogue mechs in their territory before too long. But before they do, we have the element of surprise, which we could use to raid for supplies.)
This way you don't need to worry about making your mech "drop-safe" (I had actually assumed none of them were). The container would protect it during the landing. It would probably get banged up a bit if it weren't well-secured - and maybe even then - but it would survive.
((EDIT: Actually, I just remembered your character is from a Moon colony. Rather than a space plane it could have been a shuttle to/from the Moon.))