You can apply for the Canadian Visa, but I have to be honest - since I have been on here and from my own personal experience, it is a waste of money! The way they see it is after you are married, why would your hubby leave now? It is totally up to you, but based on all of the people on the forum that have tried including myself to get a visitor's visa and been denied, your chances are slim.
I am not 100% sure on the US Visa as we didn't try for that until after he landed (which he did get as PR of Canada), but my mother in law applied for a US visa and was denied for the same reasons they gave hubby here - unless you (meaning hubby) have $$, he own's property in JA, has a job and very strong ties to have to go back to Jamaica, they aren't just handing them out either!
Sorry to be so blunt, but I figure while I was in the process, I would have rather known the truth up front and not got my hopes up than have someone tell me if may be possible and then have my world shattered when I find out the truth! I hope I haven't offended or upset anyone!