The onset and the range of saddles you've tried suggests that the problem isn't with the saddle (or by extension, the bike). It looks like you have an unstable positioning on the bike. You get on the bike, can ride for a bit and don't have obvious immediate discomfort, but as you settle into a dysfunctional position, you develop pain, erectile dysfunction, etc.
You may have a physiological issue going on as well, which may easily have been induced by the unstable position. Are you aware that the penis is actually much longer than any self-respecting woman thinks it is, running not just to the torso but under the groin and back into the pelvis a bit? An erection is dependent on performance of the whole thing, and without question you end up sitting on part of it. That's where position on the saddle and choice of saddle are initially critical. In your case, no saddle will work because it either hurts immediately because it's not a fit to your initial position, or it injures you after you let your position destabilize.
By destabilize I mean that you do something like letting your lumbar torso sag forward, or letting your hamstrings tighten excessively so you arch your lower back, or whatever. This can be passive (like letting your lumbar torso sag) or a secondary effect of another problem (such as altering your hip rotation by tightening your hamstrings while riding). In either case, you may end up sitting on a saddle improperly and also causing muscle tension to "reshape" your perineal anatomy. Both can cause these problems you describe.
It's not a simple issue or a simple diagnosis, but it's remarkably common. Trying to define exactly what's happening could require MRIs, a really good fitter with laser diagnostic tools, and frankly a fitter who is a trained kinesiologist, plus a urologist and who knows what else. Definitely try to get an MRI of your pelvic area, looking particularly at any deterioration in your lumbar discs (which can cause your position to destabilize) and at any soft tissue damage in your interior penile tissues and related musculature. That may give you a clue as to what is going on.
After that, work on an extensive regimen of situps and leg lifts to build your hip muscles. Do some weight work -- mostly deadlifts but also some squats. (Read Rippetoe's Beginning Strength for a good guide to how to lift in a way that's the most productive for cycling and also avoids injury.) Work on hip abductors and adductors (usually done with a pair of Cybex machines in which you spread your knees or pull them together while sitting in the machine). Get an EVA foam roll and assiduously roll your IT bands and hips on it to resolve any tightness or scarring there that can induce positional problems. Generally, work on flexibility.
None of these things are bad for your overall progress, regardless of whatever else you might pursue. They should give you results within a month or two of regular work. You may have something else going on that isn't addressed here, but if so you are at least in better shape and have eliminated some possibilities. However, these kinds of issues are the ones that bedevil doctors and coaches who see you for an hour or less and never have the chance to work out the causes of your problems.
I've been through this myself and coached several riders who've done the same. This path worked for about two thirds of them. It helped identify underlying causative issues in all but one of the rest. I don't claim to have an answer, just an approach that gives you some forward progress with no downside. Certainly you aren't likely to find a solution in some panacea saddle that you haven't discovered yet. It's inside you, not in the bike. I hope this resolves quickly for you.
Instead, fix the sources of the problem.