[Mailman-Users] Host won't upgrade, what are my options?

[Sam Santos]

I have a problem with my current host (Hostway). The only "upgrade" to
mailman they support would result in me losing my archives and basically
starting from scratch.

Unfortunately, I don't have access to the mailman installation... at least
not as far as I can tell (warning: I'm fairly new to this side of things).
Is there any hope for my archives at all?

--sam