Hey Breathe, here are some things that come to mind that ds liked or likes that should be do-able for an 11 mos old (ds is 15 months now):
Winter (butternut, acorn) squash--we bake it, then cut into chunks and freeze so we can defrost a chunk at a time. Just scoop it out and give him pieces (it's pretty mush, so won't be much practice for his dexterity, but still good). Maybe also spaghetti squash? For a while this was the only vegetable he'd eat.
Grapefruit and Oranges (yeah, I know, weird, but my kid LOVES grapefruit, oranges, and if we'd let him have it, lemons, like his mama. gave him a *tiny* taste of lemon the other day and he begged form more). So, it's worth a try.
Broccoli--the stalks might be too tough for him at this age, but what about just the florets (sp?) in pretty small pieces?
Blueberries (too soon if he doesn't have a lot of teeth??)
Ok, I'm not coming up w/much! If our ds had dairy and wheat sensitivities I honestly don't know what we would do, since he's a very picky eater (more recently) and has stopped eating any green veggies and lots of other stuff he used to like--ugh!!! Many days all he'll eat is carbs and dairy--bread, pasta, cottage cheese, that's about it lately!