Yes absolutely! Don't complain, say nothing to the authorities and act all doggy-lover when the stupid beast is around. You need to put yourself above suspicion and if you fail in this you could be looking at jail time.
If you're satisfied that nobody can pin the dog's death on you, then go ahead. But be careful! Antifreeze or rat poison mixed with meat will work but buy them out of town, PAY CASH, and get rid of packaging and excess materials out of town also.
Good luck!