Very nice Phals! I can't help with ID, but a couple years ago, I bought one that looks very much like that from my local Trader Joe's. It had no tag. Actually, I have never seen any orchids at my store with tags. The leaves on mine have the exact same mottling, the flowers look almost identical, except mine don't have that darker pink on the top half of the lip.
I, too, have always wanted a Phal. schilleriana, and may have one someday, but I'm almost certain my plant, and yours, too, have that in their family tree.
Mine is a prolific bloomer. I suspect yours will be, too!