Limiting what you're taking is a good idea, listen to your inner self about how much you're willing to put into this so that you don't end up overdoing it and then feeling steaming mad about it afterwards.
Your SET looks good

If I could suggest just one thing: maybe being more clear on the empathy part (validating his feeling, saying something along the lines of I can see that you're... . /you seem ... . / it must be ... . for you right now)
The E-part (empathy/validating) is the key to making SET work.
It might also an idea to tweak the question a little where you don't actually ask him if he maybe could find someone (chances are he'll say no). How about "Who can you contact to help me?"
In the end, you know him better than I, so go with your gut.