I think the suggestion to buy one locally makes more sense, unless you're very particular about your brand/model of monitor. As long as you're not going to a super rural area, there will be an electronics store or office supply place that sells monitors.
On the other hand, if you're moving frequently, it might actually be less of a hassle to bring your monitor instead of buying and reselling at every stop.
If you've tried co-working and it's not your thing, cool. But if you haven't yet, I'd say give it a shot before writing it off. I thought it would be distracting and terrible for my productivity, but I adapted very quickly and it actually makes me more productive. And some of the most meaningful connections I've made have been through meeting people at coworking spaces.