So I raided the exotics scraps box. Bearing in mind what I keep in the regular scraps box, you may imagine I hang onto the minutest fragments of such things as Rosewood, Box, Purpleheart, Nutmeg (Yes, Nutmeg) and Ebony, and you'd be right. I used to wonder about the sanity of this - although why this and not about everything else is anyone's guess - until I read The Tool Chest Of Benjamin Seaton wherein the inventory of contents includes such things as Ivory (1" x 1/4") and "four fragments of tulipwood cross-banding". The way things are these days, a whole cornucopia of hardwood species are getting to be as valuable as Ivory, so I hang onto them all and feel not a qualm.
Thus it was that I found just the thing lurking between a 1" long (1/4" square) piece of Pink Ivory and a 1/2" square piece off boxwood. Don't laugh; they're just the ticket for Miniature Mallets such as these). Anyway, a piece of Rosewood approximately 2" long, 1 1/4" wide and 1/8" thick - from which to cut a wee fence for the wee plane. A bit of doubled-sided tape, luckily slightly the worse for age so not as terminally adhesive as it can be, was cut to stick it on.
And there we are. Simples. Naturally the thickness of the fence dictates how far in from the edge it'll cut, so you could conceivably have a whole range of fence thicknesses. Don't look at me like that; it ain't happening.
Getting the scored line lined up with where the plane actually cuts is, of course crucial and to be honest, a bit of a fiddle. But a couple of tests to get it right and then I took it for a spin on another piece of wood that died horribly at the hands of the router.
As long as you concentrate on taking a full length shaving every time, the depth takes care of itself, and the result isn't half bad.
So, as expected, it works, but unless you're absolutely lost without a fence - or have the edge trimming plane but not the shoulder plane - I'd still opt for the shoulder plane. It's a lot less fuss.
If you haven't got either, don't tell anyone, but it's a wonder what you can do with the humble file...