Have you considered building one of the backblaze storage boxes?
BackBlaze Storage Pod v2
The cost of these will have gone up quite a bit due to the increased hard drive prices which will be around until at least the middle of next year. They can handle up to 137 TB per pod. According to my quick-n-dirty math here at 800GB of log files per day you're going to need 292 terabytes worth of storage for one year. You'd get almost 1 year on two of those systems.
I know the prices have gone substantially up for hard drives (twice as much in a lot of cases) but this setup is still one of the cheapest systems that has some drive redundancy (and as we all know having a raid setup IS NOT A BACKUP, right?) I don't want to think about how much that much data being moved across a 'cloud' system would cost (generally they have a charge for how much total storage is used along with upload/download charges.) Let's just say expensive.
I'd start by taking a very hard look at what is being logged and how much information those logs have to have. At the scale you're talking about changing the logging level across the board will have large changes in the space requirements. You also might want to consider a combined near-term long-term data retention system where it will automatically move older files to tape but still have access to the files on the tapes.