Casey, I clearly remember those days! I remember thinking that this is NOT what I'd envisioned with solids...everything I read talked about what an adventure it was, have fun with it, and that sooooo wasn't the case. We started Tyler at 6 mo and it took him a full month before he'd open his mouth for more than one bite of anything, and I think we'd tried about 8 or 9 foods multiple times by then. It was really frustrating. Then one day, out of nowhere, he started eating. Just like that. And once we brought out the finger foods, he really got into them. He couldn't hold them at first so we had to feed him from our fingers, but that was all he wanted. He seriously went from stage 1 purees to finger food...maybe that's where your DD is heading? At first, Tyler spit out anything slippery too, but crackers and toast worked well for his first finger foods. Have you tried those yet?
As for out and about, I'd definitely do solids on the go. Just pack up an insulated lunch bag with an ice pack if it has to stay cool and get out of the house!
After awhile, I stopped spending so much time trying to coax Tyler into eating solids. I'd try for a few minutes, and if he wasn't opening his mouth or we were obviously getting nowhere, I'd cheerfully end the meal. It saved my sanity because the longer I tried, the more frustrated I got, and I'm sure he could pick up on that.
Hang in there, I know it's hard!