That should do you fine. Unlike Pennies, I don't think there are that many single denomination collectors for shillings.
By the way, I would extend your range just a little, to the start of the milled shillings in 1662 (barring the very scarce Cromwell issues in the 1650s). Quite a few of the 17th century shillings are fairly reasonably priced and this gives you the opportunity to add a few more monarchs to the run. Shillings from 1696 and 1697 are fairly plentiful, as are some of the Charles II dates in the 1660s to 1680s.