Okay... I have actually run both 2 and 3 Primes over a similar sized, 36" tank. Here is what I found...
Two of them mounted at the BRS recommended height and spacing (10" above the water and 10" in from each end) is PLENTY for LPS, softies, BTAs, etc. There is a bit of shadowing, but a creative aquascape will minimize that.
Three Primes (10" above the water and the outside pair at 8" in from each end) gives a lot more coverage with a lot less shadowing. I found that if I ran all three as one "tank" in the app, I had a pretty noticeable hotspot in the middle of the tank where all the lights overlapped. To compensate, I ran the outside pair as one "tank" and then ran the middle light on its own "tank". I ran the same "schedule" on both, so they had the same color mix and timing, but I could adjust the center light's intensity lower to minimize the hotspot. I found I only needed to run the center light at about 35% of the intensity that I ran on the outer light pair. Doing it that way worked perfectly. I had ZERO complaints.
Now, IMO, getting a Hydra would just be a waste. I'm all for overkill, but if you mount it in the middle, you'll be running it at a VERY low intensity... Even if you crank everything to SPS level PAR. I'd save the money and get another Prime.