iPad 3 not showing up in iTunes (Win7_64) over WiFi

I have an iPad 3 I'm trying to sync over my WLAN. It's running iOS 7.1 and connecting to iTunes 11.2.2.3 on Windows 7 64-bit. Upon launching iTunes, the device will appear in the left navigation pane after about 10 seconds, and will stay there (greyed out with a spinning progress wheel) for about 15-20 seconds before it disappears. I am never able to display the status or contents of the device over a wireless connection.

-USB connections do work and I am able to manage, browse, update and sync the device.

-I have tried connecting over USB and checking/unchecking the "Sync over WiFi" box. That has not solved the problem.

-I have tried establishing custom inbound and outbound Windows Firewall rules to allow all traffic to all programs and ports from the iPad's internal IP (10.10.10.18 on a /8 network), but that hasn't fixed the problem.

-AppleMobileDeviceHelper.exe, AppleMobileDeviceService.exe, iCloudServices.exe, iPodService.exe, iTunesHelper.exe, iTunes.exe and mDNSResponder.exe are all running at the time of attempted (and failed) sync.

-Wireless syncing worked properly while on iOS 5. Really regretting updating to iOS 7 right now. Lesson learned, unlikely to ever update again.

I've tried a number of solutions but as I cannot recall 100% of what I've already tried, I am willing to start at square one to get this resolved. For what it's worth, I'm a 14-year IT professional so you can talk to me about pinging, firewall rules, subnets (iPad and PC running iTunes are on the same subnet), protocols and ports and I will know what you're talking about. Hope that helps speed things along.

Any assistance you can render would be most appreciated.