Your canoe looks like it was built from a Trailcraft kit. I built one nearly 40 years ago. I certainly did not stretch the canvas in one of the ways usually recommended (e.g., as in Stelmok and Thurlow's book). As best I remember, I simply laid the canvas over the frame, tacked it at the base of one stem, stretched it by hand as best I could, and tacked it to the other stem. Then I tacked the center of one side to the gunwale, went to the center of the other side, stretched by hand and tacked, and then tacked towards the ends, alternating sides every couple of tacks. All stretching was done simply by pulling by hand. The stems were done last, after slitting the canvas, tacking, and trimming to size. I believe that the building instructions called for nothing more in the way of stretching, except that once the canvas was tacked, I believe I wet it down (before painting) to shrink the canvas and thereby tighten it some more. I think you are correct that the frame would not stand up to the pressure of stretching the canvas with a come-along or some similar method.
Also, as I recall, the building instructions did not call for using any filler to smooth the canvas, but just called for painting with a few coats of paint. That proved satisfactory for purposes of water proofing, but did not leave the smooth surface that filled canvas provides. On the other hand, I suppose that the canoe was several pounds lighter without the filler. Mine was also blue, both in and out, and as the paint soaked through from the outside.
Thus covered, the canoe made a couple of trips down the Housatonic River in Connecticut, and a canoe/camping trip to Kejimkujik Park in Nova Scotia. The canvas cover held up well. It was my first canoe, and I did not find it very satisfactory -- too tender, but with none of the benefits (speed and responsiveness) that a tender boat can have. It was, in fact, a bit of a klunk. Perhaps I would have been more comfortable with it had I more experience, but I think not. I did have fun building it, and I did learn a bit about canoes and canoing for the short time I had it (I gave it away after about a year).
Anyway, canvasing in the way I did was certainly easy, taking not more than a couple of hours to stretch and tack. Removing the old canvas should be fairly easy (the hardest part will be getting the outwales off in reusable condition), and recovering should be similarly easy.
Good luck.