I've been looking at various Case knives and I have to say, with much sadness, that the clip blade does not hold any aesthetic appeal to me, especially in its lengthier iterations like the Trapper, Stockman, and Muskrat. I prefer a more modern look to the blade, like that of the Kershaw Skyline or Leek. (Blasphemy, I know. But I can't help it!)
I'm not looking for a particularly old knife. A modern Case or Queen will do (provided the price is low enough). I value quality, though I'm also looking for bang-for-the-buck since my budget is not that big. I suppose that for a traditional-style knife, I prefer American since the thought of buying a Chinese made traditional American-style knife is odd. Above all, I'm looking for an aesthetically pleasing knife that I will use over a knife bought for sentimentality. (If it gets passed down to any children I may have, all the better.)
I've been looking at the Case Canoe and Sway Back Jack. Any comments, concerns, or other suggestions?
Pretty much any blade shape is going to handle the tasks you've described. But, not all blades feel the same to all people. I share your dislike of long thin clip blades, such as those on trappers and stockmen knives. Shrug. I'm a bad person? Four thoughts on blade style options:
1) Some clips are less clip than others. I don't mind the slight clip shape of the Opinel. (Hint: sand off the varnish and oil the handle with Tung oil or similar for instant old knife looks.). And I don't mind shorter, squatter clip blades like those on the Buck 55 (pocketable) or Buck 112 (not an office pocket knife!). Both of those Bucks are lock backs though, not slip joints.
2) You mentioned the Canoe. The blade style on most Canoes is a spear blade and I really love that style blade. Along with Canoes, you'll also find them on 4 blade "camper" knives. Search on the auction sites for "Ulster camper knife", "Imperial camper knife" or "Camillus camper knife" and you'll see essentially old Boy Scout knives without the BSA logo. I've been able to find such knives delivered to my door for under $15. Many are blue handles, other are faux bone. Interesting movie hook.... I caught "No Country for Old Men" the other night and there's a scene where Josh Brolin's character (a Vietnam vet), uses a jack knife to unscrew a vent and cut some rope to hide money in a ventilation shaft. I couldn't catch a glimpse of the handle, but I'm confident that it was an historically good nod to the all-stainless steel "Demo knife", which was was a stainless "camper" style knife used by the military for a long time.
3) Regarding the Case Swayback, I think that blade style is called a Warncliff and a lot of people like those. I've never carried one so can't comment.
4) Another style you can find on traditional looking knives that might suit your more modern eyes is the drop point blade. The Buck 501 Squire would be an example. It's a lock back though, not a slip joint. You can find Schrade 5OTs made in the US used for less than $30, which is similar.