Shenyang is a tough city to get food recommendations. I was near Shenyang in Dalian for 2 weeks recently and it was pretty much the same. And Shenyang is a bigger city than Dalian! At least the US Consulate is there!
Anyways, if you can read Chinese (or willing to put up with the horrid translations using Chrome/Google Translate!), try
dianping. It is the China equivalent of Yelp, but Chinese people are more picky, so a lot of their points are very good! I found some awesome places with that site!
If you'd like, PM me what areas you will be in, and what type of food you like, and I can give you some recs based on dianping!