UPDATE 07/17/2015: VPSDime has pulled their storage plan options so this is no longer a valid option.
VPS Dime – Low End Storage VPS as Seedbox
VPS Dime has recently announced and released a new set of high storage VPS plans to their offerings. These new boxes, which range from 100GB to 1TB of storage and operate on 1GBPS uplinks (most likely shared!) offer amazing bang for the buck to those willing to configure their own seedbox software.
Pricing – As of 05/21/2014
100GB storage, 1GB memory, 1TB Bandwidth – $40 annually ($3.33 monthly)
250GB storage, 2GB memory, 2TB Bandwidth – $5/mo
500GB storage, 2GB memory, 4TB Bandwidth – $7/mo
750GB storage, 2GB memory, 6TB Bandwidth – $12/mo
1TB storage, 2GB memory, 8TB Bandwidth – $14/mo
As you can see, the pricing per GB of storage is amazing. The only thing that could potentially be holding these plans back is the location causing poor peering, but for this price it could be something that you can turn your cheek on.
From VPS Dime –
Private torrenting is allowed on the OpenVZ storage plans, usage of public trackers is strictly prohibited. The OpenVZ storage plans are designed with storage & backups in mind,
So yes, looks like they are currently allowing private trackers to be used on these Storage plans. I doubt the company is going to fight for your if they receive DMCA complaints, but as long as you keeping your torrents limited to private trackers you should hopefully not run into any trouble.