I really like the idea of a slightly finer knit that I'd get with the Shine Sport but not sure how much I'd have to adjust the pattern - surely it can be that difficult.
You could knit a larger size than you normally would. Figure out how many stitches per inch with the SS and your needles, then how big around you need it for you. Multiply your inches times your stitches/inch and check the pattern for the size that's closest. If the pattern says do x number of rows in some places, then do it for however many inches that translates to. Knitting by tape measure is actually pretty easy.