Keep in mind, these are my unqualified (but well read) views. As you are still claimants, you don’t fall into the Permenent residency application requirement to submit an H&C claim. and being as you are a dependent on a claim, I also believe that essentially makes you a refugee claimant as well. In all honesty, given you can use best interests of the child, an H&C claim for you would be better served if you had a negative finding on your refugee claim 2 years from now. You would be better established in Canada by then and have far more credible evidence of exceptional circumstances. Currently, you have limited ties. H&C has an exceptionally low rate of approval (even with children), so you need to get those ties to Canada established while you wait for your hearing. Volunteer, get involved with the community (not just those related to your country of origin), go to church (if that’s your thing), get a job. These are all ties that work in your favour Read up on IRB and IRCC manuals about what is acceptable and what isn’t for H&C. As I’ve pointed out, if you go in claiming persecution or risk of harm, they will dismiss it.