fingers crack and bleed, the dry skin builds

Trying to get a diagnosis! I'm posting a pic, to help explain. I thought psoriasis, and my PCP agreed (my dad's been diagnosed with psor., and his also presented around his nails). I have a history of joint and muscle issues (absent RH factor), Degenerative Disc Disease; PCP sent me to a Rheumatologist to confirm Psoriatic Arthritis. Well, she had no problem with arthritis, but said rash around my nails looked like eczema. Went to Derm., who said the same thing.
Here's the issue: I'm not convinced. Rash initially showed up about 2 yrs ago and would come and go. Now it's constant. No itching EVER, fingers crack and bleed, the dry skin builds up so i have no feeling in the tips of several fingers, constantly have to clip skin with cuticle clippers to feel anything.
Now, I've never had "sensitive" skin, but everything I use is soap-free/dye-free. I always use gloves when doing dishes or cleaning. Also, fingers were especially stiff,painful,swollen on initial flare up. Any ideas?