I totally understand and sympathize with the feelings of shame and judgment. I'm about 5'3, and 165 lbs, so similar in terms of weight AND more importantly in terms of being depressed and embarrassed about it. I frequently avoid public places, although some days I'm better than others. It's a tough set of issues to deal with, but I do agree with Giselley in the "need to vent" post from 3/25/17 that (for me at least) the binge eating is tied to carb intake. If I can stay almost completely off sugar and then really limit my breads, rice, pasta, grains, my binging slows down. Once that happens (maybe four/five days off of sugar), then the depression slowly, slowly improves (along with the other energy issues, headaches etc).
My stumbling blocks are two-fold when I'm depressed.
1) grocery shopping and cooking seems overwhelming, so I go home, don't cook and then snack on unhealthy items or worse;
2) I stop by a drive-through; and then
3) feel guilty and horrible afterward.
Luckily, we have great food options locally (similar to Whole Foods), so when I'm "down in the dumps", the best way for me to tackle it is make sure I stop and pick up pre-cooked hot bar or salad bar for lunch AND pick up soup, salad or something small for dinner. I need to do it at lunchtime because by 5pm I'm too tired to stop again. Once I get past the worst of my depression (sometimes takes several weeks) I try to cook a little more. Hot bars are expensive, but I refuse to feel bad about it. I'll save my money elsewhere.
ERD is right, you should feel really good about the weight training, and getting outside for a walk is helpful too. Actually even sitting outside seems to help me. The TV is my best friend and worst enemy when I'm fighting depression. Anyway, hang in there and know we're rooting for you. Let us know how it goes over the course of the next few days!
[Love your username by the way