Welcome to the world of big water kayak/canoe fishing! It's been by far the most satisfying and exciting form of fishing I've experienced. I started with a Wilderness Systems Tarpon 140 SOT kayak about a decade ago and used that kayak for about 4 years, primarily on Lk Michigan for salmon and steelhead. Nice kayak with somewhat narrow lines such that it paddled well but was a bit unstable. Factory slide track mounts a nice plus for ease of installing and adjusting accessories. Switched to an Ocean Kayak 13' Prowler 5 years ago. It was wider which meant I traded some efficiency and speed for stability. I didn't have a rudder with either kayak. There were times it made paddling in the wind a challenge but on the other hand I never had my line wrapped around a rudder (definitely a concern when running two lines, especially if fighting a fish on one). Both kayaks handled the big water well and could be set up nicely (and easily) with an assortment of rod holders and sonar/GPS mounts. This summer I switched to a Hobie PA 14. I've not met Jim_MI but he provided some great insights regarding the benefits of a peddle craft in terms of them being more efficient (i.e. less fatigue-inducing) and allowing for tremendous hands-free capabilities. They are worth considering. I'm glad Fisheater Bob has already chimed in with his thoughts on big water fishing from a canoe as he's probably the most experienced person who routinely follows this forum that fishes in this manner.
In my experience, this is a "live and learn" sport. You'll end up buying your first fishing kayak and learn a ton thereafter. You might be the type to be happy with the first one you buy and never find a reason to change, or you might decide fairly quickly that it doesn't suit your needs and be looking for a new one in fairly short order, or you may like it perfectly fine and yet at some point decide to try something different just for a change of pace. I realized that I'm more of the latter in that I like changing things up after a few years. I also realized that when it comes down to it, I prioritize my fishing capabilities a little higher over my paddling experience. That and some shoulder issues led me to give up the paddle for peddles this summer (am in a Hobie PA 14 now). I do miss the aesthetics/sensation of paddling, but the various attributes that Jim mentioned (less fatigue, much improved hands free trolling) have made up for it thus far. But if your first love is paddling, and fishing is secondary, you might prioritize a fishing kayak that paddles particularly well. As Bob has noted, if you love canoe paddling, there's room for that approach and he's exceedingly effective at it.
Price and safety are two other important factors that will (and should) influence your decision. I'm glad you have already indicated that you are aware of safety issues relevant to the sport, especially if fishing Lk Superior. A SOT and a dry suit make enormous sense as a starting point. A 13 to 14 ft kayak makes sense for Lk Superior. Most of the fishing kayaks are built to be inherently more stable than recreational paddling SITs or SOTs. Some are more stable than others though; reading reviews about stability and (better yet) trying them out with a dealer if you can will be beneficial. Price is dependent on your personal budget. Given your interest in fishing Lk Superior, at a minimum be prepared to spend enough money to not only purchase a quality fishing-oriented SOT but also the safety gear essential for big, cold water in potentially dangerous conditions. That includes the dry suit (or at least high quality semi-dry paddling gear), life jacket, marine radio, a flag/light combo, and an assortment of dry bags for extra clothes and safety gear. Keep on the lookout for used kayaks, especially if they are already partially rigged. That'll help with price. If you went the peddle route, Hobie's are at another level of price but you can find some used at a good deal (like the one's Jim and I both sold earlier this summer).
Hope this helps and that other's chime in, especially if they have first hand experience with the kayaks you are considering. Be safe and have fun!