The problem with braided steel line is the cost. you'd have to buy quite a bit of it in order to get the peice you need. you can't just buy a foot of it...you have to buy a bunch.
Steel braided line takes special AN fittings which are threaded on one end with a special flair on the end. You may not find the line or fittings small enough to use for fuel line on your bike. The AN fittings will not work with the gas shut off valve anyway.
The line and fittings can be expensive.
An alternative would be braided line covering, which is a steel braided sleeve that you slide over regular fuel line. You have to buy it in a kit, and it comes with fake fittings that go over regular hose clamps, and they look very similar to the special AN fittings. Cutting this sleeve is difficult, but it can be done with a dremel tool and a cut-off wheel.
But again, you'd have to buy a kit to get the sleeve and the fittings, and you may not find it in the right size.
They do make the braided sleeve for small diameter vacuum lines so maybe you can find one small enough in one of the kits.
I personally like the clear line.