Traveling didn't take me out of work, it just changed where I do it. I still answer emails, send quotes and deliver things on time, only now I do it from a bus terminal, from the table in a kitchen that isn't mine, or from the car parked on the shoulder because that's where there's signal. Over the years I built a simple routine so that change of scenery doesn't show on the other end: to a client, an email from me has to look just as professional whether it leaves my desk in Puerto Natales or the seat of a bus crossing the highway.
Email, with my own domain
The first thing I sorted out a while ago was to stop sending work emails from a generic account. I use my own domain on top of Gmail, so the address looks and feels professional, but underneath it's still the Gmail interface I know by heart: the same app on my phone, the same search, the same way of setting up filters and labels. That matters more than it seems when you travel: I don't have to learn a new email client or depend on some odd app that might not work well with weak signal.
My email runs on Google Workspace, and the technical side (the domain records, the aliases, making sure everything is set up right from day one) I left to TecnoMagallanes, the company I started in Natales. I'm putting it this bluntly because I'd rather be honest: it's my own company, and I use it for my email too. In case it helps someone, here's the direct link to email with your own domain on Google Workspace, which is exactly what I have set up.
Files: everything in Drive, with offline turned on
All my work documents live in Drive. I don't keep anything important only on the computer, because a laptop can get lost, can break, or can simply stay in one place while I move on to another. What I always do before heading into an area with poor coverage (pretty common here in Patagonia, or on long stretches of road) is mark the folders I know I'll need so they're available offline. That way, even if the signal is bad on the road, I can keep opening a document, fixing a quote or reviewing a contract without needing internet at that exact moment. When the signal comes back, everything syncs on its own.
Two-step verification, especially when traveling
The more I travel, the more I care about having two-step verification properly turned on for the accounts I use for work. I'm going to be connecting from airport networks, hostels, cafés with shared wifi, and that extra layer of security is the difference between a scare and a real problem. The rule I follow is simple: I never check work email on a computer that isn't mine without logging out as soon as I'm done, and I avoid typing passwords on shared computers altogether when I can handle it another way, like from my phone.
That brings up the other thing worth having sorted before you leave, not after: what to do if you lose your phone on the way. Before leaving, you should have backup codes stored somewhere else (not just on the phone you could lose) and know by heart, or have written down somewhere safe, how to recover access to your main accounts. It's a boring ten-minute chore before the trip that saves you a huge headache if your phone ever ends up lost, stolen or just out of battery at the worst possible moment.
Staying professional even when the day isn't
Some travel days are pure chaos: a bus change, a change of plans, signal that comes and goes. Even so, I try not to let that leak into an email to a client. Before sending something I wrote with my phone in hand, half in a rush, I take a few seconds to reread it. If I don't have the time or the headspace to write something polished, I'd rather send a short line saying I'll reply properly as soon as I can, instead of sending something rushed that shows. An address on my own domain already helps give that tidy image; the rest you complete yourself, by writing with the same cool head you'd have in an office.
What I took away from all this
In the end the formula isn't much of a mystery: email on your own domain so it looks professional, Drive with offline turned on so you don't depend on signal, two-step verification on everything important, and a simple plan for the day the phone goes missing. I didn't set any of this up all at once; I adjusted it trip by trip, every time something failed at the worst moment. If you're about to start traveling and working at the same time, I'd say sort this out before you hit the road, not in the middle of it.