Okay, having now rewatched that video I linked and done a little bit of comparing with Schlock Mercenary's Eina-Afa (link is to wiki page, which itself has a handy reference to links in the comic about people discovering/realizing something about the superstructure), which is a 'habitat' on a scale so huge that it has a lot of the same features as a hollow planet, there's a few tricks you can use to mitigate some of the problems from my previous post.

The Coriolis Effect: not much you can do to get rid of it entirely; anything moving through the air without holding on to the ceiling is going to have its trajectory changed by about 30% near the equator. You can reduce that by making the planet larger (which will make it a much longer journey to reach zones with significantly different physics, which could be a good thing or a bad thing) and by slowing its rotation (reducing 'gravity' but also reducing the Coriolis Effect). OTOH, if the core is also producing actual gravity pulling inwards, the spin and therefore the Coriolis Effect will have to be much stronger to compensate at the equator (this will also make it so near the poles the ground is a ceiling, near the equator it's a floor, and in the middle is a weird slope).

The weather: the combination of a hot core, a cool exterior, and extreme Coriolis Effect is going to result in some bonkers weather. You'll get a lot of hurricanes and tornadoes, but close to the equator they'll actually be parallel to the ground rather than perpendicular to it (if a regular hurricane is shaped like a flying saucer hovering over the ground, these would be more like a wheel rolling on the ground). You can reduce their severity by including wind-blocks, which in this context, would probably be enormous pillars stretching from the core to the ceiling, and maybe interconnecting as well (this also handily explains how the planet has any kind of structural integrity). Each of these pillars would be big enough to need its own wind-blocks, most likely taking the form of giant walls separating the surface of the pillar into sections.