I have that processor in my PC overclocked to 4ghz. While I'm sure Animania is the source of the problem, make sure that you have FPS improvement mods installed. They don't always improve FPS but they can speed up chunk loading times. 1.10 is riddled with terrain loading issues.
Be sure to look out for mods like BetterFPS and Optifine. Optifine has specific functions that help improve chunk loading and FPS spikes on single player servers. (This "server" is built into the game internally and has been for years now.)
You could also let Optifine load on the "Multi-core" setting, however, this can meddle with certain mod's rendering, such as Chisel's connected texture blocks.
Just remember *not* to include Optifine in the final build of your pack if you intend to release it as the mod author stated on their website and has stated in the past that they wish for their mod to be downloaded from their website directly.
In the case of Animania, check to see if the mod has been updated on Curse mods or, if it has been updated, submit an issue to the mod's issue tracker to let the developer(s) know about the problem:
https://github.com/capnkirok/animania/issues
For whatever reason, the mod's code isn't available om GitHub at the time of this writing, so I can't tell you what the actual problem is. From the details you have provided, I can tell it's something on the mod's "serverside", which is the side that handles entity spawning, terrain generation, saving/loading, etc.
By the looks of the mod, it seems that it is using the vanilla mob spawning system (which is flawed in itself) by preventing vanilla mobs from spawning and making sure that their mob is spawning in instead. It shouldn't stop chunks from loading that badly, but it *could*. Also, please note that this is all speculation, and that nothing I have said about Animania is based on knowledge of the mod's code. If my assumptions are correct, it won't affect the game's "FPS" as it is possible for Minecraft's serverside to crash and the clientside (rendering, mostly) to run semi-correctly. I have experienced this when modding in the past.