I would normally suggest Talisker 10, but sounds like you don’t like peat. Talisker is not overly peated though, makes for a good entry point to the Islay scotches
Avoiding peat, Glen Grant 12 (not Grants) is good as is the Aberlour 12, previously mentioned, or Aberlour A’bunahd. The Singleton of Glendullen is a good cheap “daily” single malt. If you’re open to blends, I enjoy the ones from Mossburn, they have both an Islay (peated) and a Speyside (no peat). Monkey Shoulder is a decent cheap blend too.
if you have not looked at the Distiller app/website, can be helpful for finding scotch that suits your palette. Nothing worse than coming home to find you unknowingly bought a peat monster when you don’t like peat.