There may be something to be said for a cruise around all the coastal distilleries although you would spend most of your time on Islay. If you want to do a few of them in company then go for the Malts Cruise which is run every summer and I am told is very jolly. But if you don't want to be so whole-hearted about it, it is still worth knowing where the distilleries near nice anchorages are, the buildings with some striking exceptions are rather good, and many if not most do tours and I think even those that don't still sell their stuff. So going kind of from the south to the north, and only including those with anchorages near by (which is just about the lot):
Lagavulin (and walkable to Laphroig)
Isle of Jura
If I were forced to choose I would pick Lagavulin on Islay (for the anchorage), Isle of Jura at Craighouse (for the hotel and general island atmosphere) and Tobermory (for the charms of Tobermory).
So go for it, buy a bottle of single malt at each one, drink them up over the next year, and then go round again the following year!
If you want to read up about Scottish whisky then try here.