To be honest, I think you're treading in territory that really isn't your concern.
Your SIL was 100% on target in her response when asked about her decision not to work during her marriage: "It's between my husband and me." This is also true of their decision to divorce, or the financial details of their divorce. It's between them, and they have no obligation to talk with you or anyone else about it.
You offered to help her find a job, which was a nice gesture. However, she made it clear she doesn't want help from you. Her job search is her business, and as with the rest of her life, she has no obligation to share the details of it with you, or to accept your help.
In the end, she's responsible for herself and her future. I strongly advise you to back off and let her figure it out herself.
I also suggest that you and your husband should get clear on how you will and won't help her, if at all - so that if she asks you for help, you will be prepared with a response. BUT, don't then go to her and say, "DH and I talked and we decided that we're only going to do x,y,z for you and not a,b,c." Just leave it alone for if and when she approaches you.