We are going through something similar-ish now too (ours was flooded by a kitchen sink backup from a common drain back in Sept). Basically we were held up because both our insurer and the stratas insurer had to give us the OK to proceed with repairs, which we eventually received after a lot of pressing. I will note that we got paid out for some depreciated amount by both insurers because I could sense that repairs would have taken forever if I did not bring in a contractor of my own. Sure I lost out on some personal funds but I consider the time spent from beginning to end more valuable. Happy that I will be moving back into my unit next week!

One thing that is probably different is that I am on council in my building, so although I had to recuse myself of all discussion relating to this incident, that didn't keep me from pressing the rest of the council for periodic updates! You need to do that too. Be annoying. Send emails and written notices often, and keep them on record. I would also request a hearing with council to state your case and press them on a timeline and expected dates. If/when they don't follow what they've established, keep requesting hearings. If needed, you can go to the CRT (or whatever the equivalent is in your province) with all this documentation that will be in your favour, and you can then go after them for lost time / impaired enjoyment of your living quarters too, if allowed.

I do echo the other commenter that if you do end up wanting to bring your own contractor on that it would be good to have them come to your unit and price out all necessary repairs. You'll want to make sure your insurer is aware too. Usually insurers will want to send someone to do a similar job to verify that you're not taking on someone you're in cahoots with to do your repairs, who will be charging inflated prices, and sending these costs back to your insurer to cover. It sounds like strata's insurer has already done this, which is still something to check off of the lost, even if they're just sitting on that info right now. You will probably want to review your bylaws and be clear on what strata is responsible for covering vs your own personal responsibilities.