Cream cheese frosting or vegetable shortening instead of butter. It all depends on the melting temp. Italian buttercream will melt faster than vegetable shortening frosting or cream cheese because butter melts at a lower temp than either.
https://www.kingarthurbaking.com/blog/2018/08/17/best-cake-frosting-hot-weather
Or you could go fondant, but does anyone like the way it tastes? The hot weather icing conundrum explains why wedding cakes are often blech tasting compared to one with a real buttercream.