I was in Limone last May and will be heading back there in May this year.
I'm taking my two kit lenses for my Nikon, 18-55 and 55-200. They should be more than enough.
The views across the lake can be very hazy at that time of year, looks like smoke in the air. Early morning is a great time to wander around with your camera.
If you are up the north end of the lake you have to go to Malcesine and take the cablecar ride up Malto Baldo, cost was E18 last year but well worth it for views of the lake and the next valley over. Some amazing colours on the small little lakes and still some snow up there. There's a great cafe on the top and for Italy the prices were very competitive.
I got some great shots of buildings mornings and afternoons.
I'll be off to Verona for the day during my stay.
Hope this helps