I have the RIP Alpha 85x in my 17˚ hybrid. It gives me a very good trajectory and great directional control. I can swing it as hard as I want and the shaft feels very solid, and I've yet to balloon it although I'm not an unusually high spin player. It's likely not the best hybrid shaft in the world but it is available for 60-80$ so it is preferable over a 200$ shaft. I can hit my hybrid around 250-260 off the tee and stop it within a few yards on greens from the deck. The NV is usually considered a decent hybrid shaft but it's a little softer than the alpha I hear, so it may be worth getting the 105 weight.
I do carry irons down to the 3i and only one hybrid. The lower 14-19 degree lofts though are often better suited to long players than the 20-27 degree lofts. Once they start replacing mid irons, they aren't designed to go low no matter what shaft you put in them. Lofted hybrids are not generally designed for high ball hitters. The 21 should work but with the 24 you'll probably just hit it high whatever you put in. Players who hybrids are aimed towards cannot elevate their irons or lack the speed to elevate a shot properly; they get more ball speed from the hotter face and longer shaft, a higher launch angle, and enough spin for a slow speed ball to get up properly. If you or I use the same type of launch conditions but with much more ball speed, it will balloon and do poorly for distance control and wind performance.
I do swing in the 115-120 range with my driver most of the time. I'd say that the only shafts that would work best for you would be steel, and playing the heads at a shorter length. 21 and 24 degree hybrids are not the norm for players with high swing speeds, since the heads launch so high. If it were me, I'd cut them down to closer to 3 and 4 iron length and install the same shafts as my irons. The heads will work better for a high speed swing if the club is shorter to lower the speed, and the heavier steel shafts will keep the ball under control.