Your likes seem to be mostly in the ambery/gourmand territory, which most people would consider wintery.
A material I like a lot for the summer (at least the sticky ones here in the southern US) is vetiver, which smells fresh and grassy, and usually lasts a long time. Examples that highlight different qualities of the material are Chanel Sycomore (woody) and Malle Vetiver Extraordinaire (superfresh dry). Note that some vetiver renditions (not the two I mentioned) add soapy notes, which you say you don't like.
In different styles, you could try CDG2 man (incensy), an interesting, lemony incense that smells quite fresh. Or expensive Amouage Silver, a sort of rich eau de cologne centered on a rose note.