I want to backup my data in a remote location. The total size of the
data is about 500GB but the incremental data is comparably small. A
commercial online backup service is one option but I much prefer a
backup on a family's computer on a different continent. In any case,
here are the requirements:

1) Data must be strongly encrypted before sending it over the wire.
2) When a connection breaks the backup process has to pick up where it
stopped, i.e. without data corruption or having to resend the data.
3) Incremental backup is a MUST.
4) It must be possible to automatically backup data from different
locations within an internal network.
5) The solution should be inexpensive (<$200).

Is there anything out there that can handle this? Any input is
appreciated.