Well, I guess I may be walking on thin ice saying this here but, anyway... Ibanez guitars are not so great sounding IMNSHO. Actually the only guitar with Floyd that's sounded good to my ears was an old S-S-S Kramer.
The gear, except the guitars, seem cool enough. So, ditch them, recycle them, get new ones. Find a resonating, lively guitar. Keep searching & testing until you find one that you really want to take home.
Floyd or not? Have both types of guitars. Frets or none? Have both. S-S-S or H-H? I think you know the answer by now.
And yes, the frustration comes, but mostly because of my playing abilities. Then throwing the guitar around a bit usually helps. May end up with some cosmetic flaws but whattheheck.