If it’s important just use b2 or hetzner storage box. Use restic or rustic for backup and dedupe and encryption. I run this setup for home and work and we’re doing this on 10tb+.
Like so many things, it depends-
How quickly do you need to be able to restore? Is it commercial or homelab?
The most cost-effective option by far would be to put a NAS device someplace offsite. You could use tailscale to connect to it remotely.
After that, depending on your access patterns, either a glacier-style s3 service (aws or backblaze/etc), or a rented bare-metal server with big disks some place inexpensive.
I would start by going to https://diskprices.com/?locale=us to anchor my price expectations accordingly.
I was actually talking to my dad the other day. He asked me if there is a way for him to replicate his hard drive to me without touching cloud providers. The contents are family photos & videos, plus paperwork. I couldn't find a simple solution.
Rclone with aws s3 Glacier Deep Archive storage class is about $1 a month per TB.
I didn’t use rclone. I just used native AWS cli commands. But I’m an AWS guy and already had my own seldom used AWS account.
Restore takes from 12 (more expensive) to 48 hours (cheaper)
I'm using Borg and Hetzner Storage Box. 5TB is nothing much. Big used to mean petabytes, but maybe petabytes aren't big any more either.
5 TB? I don't know how to count that low.
Why are you choosing to use the cloud instead of spinning rust under your control?
Or to put it another way, why is state of the art important?
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This needs more information. 5TB is far from "BIG" when it comes to cloud backups.
You can probably get away with google drive+rclone+borg/restic/whatever, but it will be rather clunky. Backblaze might be a nicer backend to use.
I use rsync.net with borg, but not sure about your budget. Their 1TB lifetime plan is very competitive though.