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...for about a year now fairly regularly. I have never used a beaver tail, but I have several other types of paddles: two bent-shaft carbon Bartons, two Quimbys (one bent touring, the other straight freestyle), and a Grey Owl Scout.
The ottertail has become one of my favorites, if not my favorite. It is an old walnut Langford that they don't make anymore and was poorly finished and heavy. With the aid of some (well, quite a bit actually) sandpaper I trimmed four ounces off the blade and thinned the edges. It has become a wonderful paddle. My paddling buddy dubbed it the "Walnut Wonder". The blade is only 28 X 5.25" and it makes me go as fast as any other straight paddle. If you like to cruise and relax while taking long strokes, the Canadian, the Indian palm roll, etc., it is unbeatable.
Soloing an Explorer is going to be interesting, it's way wide and quite deep, so the usual standing heel will be difficult. Then there's all the skin friction/drag, the hull will always feel heavy and slow on the water.
Assuming a position aft of center, preferably on a kneeling thwart but maybe sitting on your heels, the boat listing at an onside standing heel, you;ll want a straight blade, not a bent. A draw with a bent is already outside Winter's +/- 15dg modified window, so pretty much ineffective. You're a long way from the bow and have pretty much relinquished control of it anyway.
You'll want a shorter shaft than normal because the water should be right there over the rail and cross strokes pretty much impossible.
Another issue is that a standing heel induces a bow carve to offside, and carrying the paddle blade aft of the body results in a sweep that further drives the boat offside.
The choice of what animal tail shape is chosen is inconsequential. You may be happier with a wider blade that grabs more water and puts more thrust into the exaggerated J required to keep a heeled down hull tracking.