Good advice, Theoman.
Bluesman, are you new to Isla whisky? If so, a cask strength Lappy could be a tough place to start. Though not necessarily, some people fall in love with them the first time out. They are very complex with peaty, smokey, medicinal, tarry, seaweed flavors in addition to the malt sweetness, vanilla from the cask. I'd venture that if you like big RIS, you're more likely to not be put off by the flavors.
Once you get hooked on them, you'll keep coming back for more. The first one's not free.... good whisky can be expensive but very rewarding. If that's the Quarter Cask Laphroaig, that's a very decent price. I just ordered a bottle of Ardbeg Uigedail, which is also a big, cask strength peat monster, but finished in sherry cask. A lovely dram.
For surfers worldwide, the North Shore is da place. For Isla whisky, it's the South Shore. You've got Ardbeg, Laphroaig & Lagavulin very close to each other (in addition to Port Ellen... which is closed down, but some wonderful bottles are still available, but very expensive.
If you're new to the island whiskies, Talisker is a good place to start. It's not an Isla whisky (it's made in Skye) but has some of the maritime flavors in a more approachable whisky. It's truly one of the great whiskies, and a starting place for these flavors.