Home sharing on iDevices not loading large library
I store my entire music library (3TB of ALAC files) on a Mac Mini connected to my Time Capsule. I can home share the library flawlessly on my laptop, but it absolutely refuses to load the library on my iPhone or iPad. I'm using all the latest software (iOS7, iTunes 11.1) with an iPhone 5 and iPad 3.
When I try to share my library, the circle starts to load, but never gets past halfway. I've tried EVERYTHING, i.e. signing out of home sharing and quitting iTunes, restarting the Mac Mini, restarting the iPhone, unplugging the Time Capsule and plugging it back in, and several other tips I've found around here and elsewhere online, but nothing seems to work!
I have other apps (such as Audiotap) that will do the trick, but they leave a gap between tracks, so I would prefer to get home sharing working properly. Thanks in advance for any help.
iPhone 5, iOS 7