Hi LDAdvocate!
I went to SUNY Geneseo for my undergrad, and they offered the courses to obtain teacher certification there. Unfortunately, The President and Provost decided to cut the program due to New York State budget cuts because it wasn't "liberal arts enough" (meanwhile, business programs are still thriving). We had a great program and serviced 3 elementary schools in the local area, had a great undergraduate and graduate clinic on campus, and had student teachers for speech all over Rochester, NY and the smaller surrounding towns in the fall and spring semesters.
I'm surprised Queens College doesn't allow you to take those classes!
When I first graduated and realized I couldn't work as an SLPA in NY, I applied to a job in Chicago that would have been PERFECT. The person I was speaking with told me that although my experience matched really well with what they are looking for, I didn't have Illinois SLPA certification (which is obtained through an associates program). Even though I have taken all the classes necessary to become an SLPA and had the Teacher Cert (in another state, though), I wasn't fully qualified.
Are you interested in moving elsewhere? you may be able to get the certificate for SLPA. I didn't look too much into how I could transfer my bachelor's degree into an SLPA certificate at the time, but it might be feasible.