Ok. I made the decision to move the site to a new host instead of paying crazy prices for a small increase in space.
After a little research I decided on
https://www.ixwebhosting.com/pg.info.dspUnixHosting
The smallest plan offers 10x more space than the current host.
What this means:
We will have another outage during this week when the site moves. I will provide more details as soon as I have them.
Thanks for your patience and sorry for the interuptions.