You say a week to 10 days or less, don't forget to factor drive time, put-in and take out days, and a weather day. Just the drive from Missouri to any town close to wabakimi will take more than 16 hours. Canoe country in SK would be 24 hours from MO. Either of those will require a launch/exit or travel overnight stay. So now your 10 day trip is down to six. Add a weather day and you are at five. That ain't much time, given that you seem to be keen on solitude.
I'm gonna be straight with you:
You seem to have a deep interest in doing things right, and that's fantastic.
You also seem to be really interested in canoe tripping, which is even better.
In looking at your posts, your topics and statements appear to be those typical of a rank beginner. I recognize the patterns because I was there myself not so long ago. Most efforts by the community to get to know your capabilities and narrow the focus of discussion have been rebuffed or evaded. This makes you appear to be unserious in your search for answers. There are many people on this board who have many hundreds of days on the water. Not day trips, but multi week and multi month expeditions. If they are asking questions, they have a darn good reason and your answer WILL impact their recommendation. I have tremendously benefitted from the wealth of knowledge on this forum, and am thankful for it.
All of that said, here's my answer to this thread, given the dearth of informatin you are willing to relinquish:
Go to the BWCA. Rent the biggest 3-man you can find and have the outfitter shuttle you as far as they will take you. Paddle as far as you can get from an entry point as quick as you can go. Enjoy the solitude and the hassle free nature of staying in the US and close enough to most central states to be accessible with a marathon drive. If you have all the gear, great. Take it and rent a canoe. If you don't have the gear, rent it all and go forth. Use Piragis. Once you decide to do this, the forum can help you with a route, should you decide to ask.