Remember that shifting the tilt will drag heat further in the northern summer but make the southern winter cooler, and vice versa. There are a multitude of ways to make a planet warmer. And also recall that our tropics line actually do change over time and the planet wobbles. Nature never makes anything easy! For instance, if you turned the Sahara into a lush green park you might be able to lower the rate and intensity of hurricanes in the US, but you might also severely damage the grape crops in France and italy, messing up their terroir. LOL. The hot dry winds from the Sahara mitigate the temperatures that parts of Europe experience while also assisting in the development of tropic waves that turn into tropical storms on the US east coast.

Here is how I think of climate in a fantasy sci-fi world after more climate study than I ever thought to do... know enough to make it reasonable and to realize when you break a major rule so that you have a reason to break it. And if you learn enough! You can probably justify most things. Know your ITCZ and its meanderings, ocean surface currents, prevailing winds and rain shadows, and you are well on your way to a possible if not always completely realistic environment. Oh! and tectonics! Not absolutely necessary but it sure doesn't hurt. Tectonics will tell you good places for mountains as well as island chains.