PhD student leaving current program for reasons of safety. Recommendations for what to do next in terms of schools and catching up?
I think the department is 'on the hook' to do more than just vouch for you (whatever that means). Sit down with your advisor and the graduate supervisor. Work with them to identify programs which would be a good match for your research plans and with which they or other department members have strong ties. They should be working their networks to help you transfer as easily as possible. 

If you're only a year in, you might also want to think about whether you want to cleanly start over at the new university--retake any classes, etc. as opposed to trying to get credit for any classes you passed in your current program. Were you accepted to other programs before? See if one of those are still a good match.

I know you want to move for various reasons, and you may not want to do anything with the person who harassed you. However, if that person is not getting punished, counseled, or something, the problem is likely to recur with someone else. Ask the department to do something, if only to require the person to undergo a psychological evaluation.