I'm still a beginner but I'm enjoying the Islays I've tried - Laphroaig 10 to start and later Ardbeg 10 and the Laphroaig Quarter Cask. Always just the one as the last dram of the night. Lagavulin 16 is next on the hit list...my budget tends to be £30-40 so that had delayed things but I pushed the boat out for the Laphroaig Cask Strength which was on offer at £65.
Also having fun with other regions, Glenallachie 12, Deanston 12 and even Monkey Shoulder.
Nosing, adding a little water and sipping slowly as you say all essential to the enjoyment.