Ditto this.
A training class for bonding and a feeling of security was suggested for me and my SA girl. She could already do "sit" and "down" so we were able to take the training for therapy dogs. She turned out to be great at therapy work.
I also found a walker who came in at her meltdown point (hers was 4-5 hours) and walked her and worked with her to be sure she was calm and quiet before she left. It took us a little time but was so very worth it.
I can understand your being worried about your neighbors commenting. I know I was over-defensive when just one neighbor mentioned that my girl was crying when I left -- and he just wanted me to know in case I didn't already know.
As many have said, alone training is done in short intervals and takes a while. My neighbors got very used to seeing me sit in the hall or on the stairs for 5 minutes while we worked on my being able to leave.
This is all still very new to your pup. There is a good chance all will calm down in the near future.
I didn't see any suggestion of a baby/dog gate. I know Pam mentioned she has one. I do to because I am staying with my stepfather and he wanted my new girl to be limited to my room and bathroom area. That lasted about a week before I came home to find he was keeping the gate open. The next week he suggested that I just leave it open when I leave. Since it is not my home, I am leaving it up so I can gate her when someone comes to the front door, etc. Seeing you, or other rooms, could make a big difference to your pup. It seems like it might be worth a try.
I definitely applaud your willingness to explore any methodology that will make this work for you both. If scrips are what it takes to make your pup feel secure and calm, there is no reason not to try them.
Best of luck!