Don't plead guilty with explanation, or have a pre-trial meeting with the Crown, set a trial date, hope for a no show from the cop or explain your circumstances to the cop if he attends court or the crown (basically the info in your initial post on this thread with respect to your children), your good driving record, your age and tell them your financial dependents.
That should either a) get the charge tossed out if the cop doesn't show up or get it reduced points and fine wise to something bearable.
If the cop is not there on the trial date, DO NOT agree to postponing the date, have it withdrawn.
[ Having said that, I also agree with Lew, being a new dad has made my gas foot a bit lighter, my philosophy is I won't be much good to my family killing myself in a wreck, or killing someone elses child or dad. AND, I'm not a doctor so seconds don't count for my arrival. If it were a true emergency, god forbid, they'd be dialing 911 for quick trained help, calling me means its something that 'eventually' needs to be done based on safe driving arrival times ]