If an employer can't sponsor a work visa, that means the employer can't legally hire you. If you get caught, you'll be the one paying big fines and getting kicked out for breaking the law. The good news is that if you look around, there are places that can provide legal employment. If you can time the transition between jobs right, you may be able to get a month or two off in between if you want a break.
And, back to topic - my wife was busy, so getting my short-form CV translated took a little longer than planned, but it's been turned in. Now, hopefully, my application can move up to the provincial level.