LTE modem/routers are pretty normal these days. I have one that's completely unlocked, generic and works with all networks. Mine's Huawei, there are lots of alternatives though.
There's a good reason why you can't flash it, it's because the manufacturer doesn't want you to. It may be possible, but don't expect it to be simple. I did an ADSL one once, and it involved a bit of tinkering via some software or other, I forget now, it was a bit of a process but it worked.
It's also possible that, regardless of branding and firware, it may be locked to a particular network. You may be able to get generic firmware onto it and find that it's still network-locked, after which there may be another hack to change that. It won't be simple, basically you're hacking it against the manufacturer and supplier's wishes.