Re: What stock has the shortest reach to the trigger?
It's not perhaps a direct answer to your question exactly, but there are a couple of things which you might try to assist with your query/problem.
There are a fair number of guys who don't wrap the tumb of their shooting hand over/around the wrist of the stock, even though they physically have the reach to do so. Instead, the thumb is kept on the same side of the stock as the rest of the fingers, laid on the stock at a comfortable angle pointing a bit "north" of the trigger finger.
I hold my thumb at about a 30 degree angle to my trigger finger & the rest of my hand, on the same side of the stock, as described.
As to factory stocks which might be worth a look. I'd say some of the thumbholes, like the Manners T5 for example. It may look odd in pics, but it's awfully comfy grip wise.
There's McMillan's McHale, which will likely require using the shooting technique described above, but is real comfortable to do so with it.
And if you're feeling like taking a bit of a risk, you could modify a stock yourself & add material, building up the stock so that the grip area for your firing hand is moved forward. So it'd wind up looking to some degree like the McHale. But still retain a slim wrist so that you could wrap your thumb.
If you're worried about screwing up a good stock trying this out, just pick up a cheepie, wood take off to use for the 1st try @ this.
Also, I'm not sure what you're shooting, but HS Precision's old Sendero stock, the one with zero palm swells, has one of the skinniest wrists on a stock that I've run across. And I imagine that it has a clone in Short Action models.