Training a Rescue Doodle with Mouthing Issues in NYC

Hi, we adopted Coco on April 1. She turned 2 in June. At first she was so nervous and shut down that she wouldn't even look us in the eyes. Now she is calmer and will lay with you on the couch for a bit. Is still a little nervous and needs to sleep in her crate and be crated when she paces nervously. She was a yard dog who was clearly neglected and surrendered to a kill shelter in Ohio. A NJ rescue got her and we adopted her. Our biggest problem is that she is a big 'mouther.' She thinks nothing of going for human ankles, arms as well as attempting this with legs and tails of dogs that do not want to play with her. I've had two trainers and a dog walker who spends time trying to socializer her in the dog run, but it is getting hard to get her to the run on the weekends and prevent her bad behavior. Our 14yr old mini poodle tries to keep her in line (LOL). I'm getting a third trainer who seems a little more on the ball, who is clear on what she thinks we should do and will do in terms of working on her 'recall' which is almost nonexistent outside (inside she is food motivated, but not outside!). Does anyone have any advice? I'm thinking I may need to get a muzzle for the dog run just for peace of mind. Aside from the 14yr old poodle, i also have a 6yr old daughter, so we're a FULL HOUSE!!! Thanks so much!