While i dont support your idea as its a violation of laws, doing so will put tax burden onto your wife. Ubereats, skip the dishes are self employed contracting business that CRA do not charge taxes at source and your wife will have to declare all the income. If you dont have enough RRSP to offset gross income, she will pay more tax. I guess you will later ask what if we dont declare that?
again, doing that requires you to be on the road most of the time, increase chances of being stopped by police for whatsover reason.Officer will definately know because you will have thermal bag in your car and if officer ask about your status, then you put yourself into more scruitiny
i recall International student who was facing deportation back to India for driving truck over 20hrs in Ontario.
bottom line, DONT DO THAT! You keep your family in possible trouble
https://www.google.com/amp/s/globalnews.ca/news/5269138/international-student-arrested-facing-deportation-work-permit/amp/