I've called EAP before and had a similar experience. The counselors seem to want you to find a long-term therapy option, although one counselor checked back with me 4-5 times over a few weeks.

As far as employee services,
this company: chronically capable offers job search services for disabled and chronically ill work seekers. The founder, Hannah Olson understands how important flexible work accommodations are for people with disabilities and illness. I am not sure how successful her organization has been, but it might be something to try.