I had the same moral objections as you and I've been using btsync (http://www.bittorrent.com/sync) and must admit it works great. My archive is not that big tough, ymmv.
To be honest I won't use dropbox again, even if Rice quits, since btsync is vastly superior for my use cases.
Don't single out Ms. Rice. Have you checked who made your jeans? Or why tomatoes are cheap at the local grocery store? Or the latte you paid $8 at Starbucks?
I unfortunately can't avoid produce and my pants (although I'd sure like to!), or thoroughly vet all of my local coffee shops' bean sources. I can, however, choose not to use this service.
You can find most clothing produced in the US so at least you're mostly guaranteed that the workers were at or above minimum US labor standards. And chances are any cotton/wool are of domestic origin as well.
If privacy matters use http://owncloud.org same experience like Dropbox with desktop client. Or host your data under the german privacy law like https://owner.io 500 GB for $ 89 per month.
Spideroak, but my storage needs aren't incredibly high. I only use it for old code archives. Everything else is on gdocs.
edit: if I'm putting a huge file up (last one that comes to mind is one my dad shot of him driving his MG TC), I put it up on S3 so he can share it around.