Ooooh, you are tough cookie to crack, BUT in addition to the John Levitt, if you are still willing to read DTB, here is a cozy/mystery (no spec element)--fabulous:
Kaye C. Hill "Dead Woman's Shoes" (I think it's cheapest to order direct from Creme de la Crime, but it's also available at amazon and bookdespository.)
http://www.cremedelacrime.com/backlist.htm Page down the backlist and you'll find it. It's on sale I think.
Hill's second is out and should be on the way to me shortly. IGNORE the covers. I know they don't look at all cozy, (and are horrid) but I assure you--these are cozies--fun, lovable, excellent reads.
There's a chihuahua, a missing cat, a sleuth on the run...and she must step into a "dead woman's shoes" to find a job...
Seriously good stuff!
Maria