If your saddle is set up appropriately, you are sitting on your ischial tuberosities, not your penis or any part of its support system.
Think of a bike saddle as being like shoes. You can't wear just any old shoes without hurting your feet. You can't expect to comfortably and harmlessly wear 5 inch heels or ballet point shoes just because you think they look cool. You have to use shoes that are appropriate for the activity. And you have to wear your own size. Apply the same reasoning to saddles.
Cyclists have been using normal saddles without harm for 150 years. Horsemen have been doing it for millennia. As a group, we may be softer and lazier than all those guys, but we are not physiologically different.
Noseless saddles are the work of non-cyclists. The nose is there for a reason-- not because it's comfy, but because it is a handle by which the bicycle can be controlled. Try riding no-handed on a noseless saddle and see what I mean. It makes no more sense to remove the saddle nose when it causes you discomfort than to ditch the handlebar for the same reason. What you really need to do if you have discomfort is make adjustments in seat height and angle, or change your seat-to-handlebar relationship, or switch to a different saddle if necessary.
If you have a "one size" bike (e.g. a department store bike) and you aren't comfortable on it, well duh. One size does not fit all. A stupid saddle with no nose will not fix that.
Noseless saddles are an example of the consumer derangement syndrome that leads people to buy stuff as a substitute for using their brains. Like recumbent bikes, they are a misguided assertion that generations of accomplished folks in the past couldn't possibly have been doing it right.
Here's one saddle that works very well for me. It is a lot firmer than it looks, which is a benefit: Electra cruiser saddle with elastomers
Here's another one that has worked for me and every one of my customers who's tried it. It is too soft for me, but the center slot keeps that from becoming a problem:Cloud9 Cruiser Select saddle