I was going to suggest Givenchy Gentleman and Monsieur plus Mouchoir de Monsieur but if you don't like Jicky you may well not like Mouchoir de Monsieur (though I think it's better it does, like Jicky, smell a bit like faeces for 20 minutes or so)
I tell you what, supposedly civet is present in By Kilian Love. Now that is a very sweet, marshmallow fragrance, don't detect it there at all, but it is in the note breakdown. It's the only frag with civet in it that I don't find repulsive so far that I've tried.
IMO, there is no such thing as a "Pleasing Civet Note". There are however, some decent fragrances that happen to have (small amounts of) civit in them - the more buried and minimal the civit note, the more pleasing the fragrance has a chance to be.
It sounds like you don't like it either, so maybe you should just do what I do -- avoid it. There are many other fragrances out there without this skanky stuff in it!