Timing of offers

[CTnewgrad826]

So I was looking for some advice regarding this situation I've found myself in.

I will be moving out of state and therefore began looking for a new job. After sending out several applications I got two calls back from two different hospitals. Hospital A called me back and gave me what I would describe as a pre screening phone interview. From there I was asked to come in for an in person interview which was scheduled a few weeks later.

Maybe a week later Hospital B called and I had a phone interview with them where it was decided right off the bat that they were interested and my references just needed to be checked out. A few days later they called saying my references checked out and I was being offered the job. Knowing that I still had a few weeks to wait for the interview with Hospital A, I asked to come tour the facility before I made a decision which they were okay with.

So fast forward a few weeks I had my interview with Hospital A which seemed more of a "this is how the unit works" conversation versus an interview and I was explained the next steps of the hiring process and told to get in contact with the nursing manager if I had not heard back from HR regarding my references in a week or two. I decided Hospital A was my first choice and am very excited about the potential opportunity.

So now fast forward to the week after the interview with Hospital A, I still haven't heard anything from HR. I go to tour Hospital B as planned and let them know that I'm still waiting to hear back from Hospital A and asked if I could give them a definite answer in about a week.

Now I may be stupid for limiting myself to a week but mind you I've already pushed off responding to Hospital B's offer for 3 weeks now. I want to be respectful of their time and get back to them sooner than later.

My plan now is to email the manager from Hospital A telling them that I was offered another job but Hospital A is my top pick and ask if they have any update on my application status as I want to be respect of Hospital B's time. My worry is even if Hospital A says they're interested still I won't have an offer by the date I told Hospital B I'd get back to them by.

Any advice or input as to what you would do in this situation?