I would ask the vet about hand walking her and working her on the lead line. That will help her from going too stir crazy. Plus you can work on her ground work then.
In order to build a bond, you need to NOT ride her. You need to spend lots of time on the ground with her: grooming, leading/walking, working on ground exercises, etc. If you have access to trails, take her out on "walks" in hand, just the two of you. Lead her from both sides. If you don't have access to trails, then just take her around the property, down the road (if it's not busy), and just sit in a chair in the arena while she's turned out. You need to spend time with her, and in this stage QUANTITY means more than "quality." You don't have to have your hands on her the whole time, just walking with her or sitting next to her is a good bonding exercise.
She needs some kind of turnout daily once she is healed, not just riding and lunging. That's only 1-3 hours in her whole day, not nearly enough. Horses do just fine out on the ice. Have her shoes pulled and make sure she's blanketed. Get some shortening from the grocery store or eventing grease and coat the inside of her foot, on the front and just around it, to prevent ice balls from building up. Reapply every few days.
Don't worry about her in the pasture. She'll be fine
. The more the horses get turned out, the more they will break up the ice and make the footing better for traction.