Hey all - update from the EI claim after moving here. Once we leave Canada and have eligibility to work in USA (which you would with Spousal visa, not sure about Fiance), we get 'transferred' to Interstate Claims Department. They are the ones who look at our application, approve us and where we have to submit reports etc. The number to call is +1 877 486 1650, as someone stated above. Whenever you move here and call them, you have to leave a voicemail, that's how they call you back. If you don't leave a voicemail and keep trying, you won't get a call back... that's my understanding.
I was told that I am eligible and I have to submit a report every 2 weeks, as you would in Canada. Ideally, they ask you to submit paper reports unlike internet report that you can send in Canada. However, because of postal delays right now, they have asked everybody to call in every 2 weeks to submit the reports. You are eligible to receive EI from Canada as long as you have work authorization here in US and you are available to work.
Let me know if you all have any questions!