I have not been able to send MMS messages on my Sprint Galaxy Nexus (SPH-L700) with my prepaid carrier RingPlus. I can do all of the following without issues:
- send/receive SMS messages
- receive MMS messages
- place/receive calls
- browse WiFi
- browse mobile data
- update Profile
- set MMSC URL
- perform factory resets
- install APN zip file found here: [FIX] Ringplus APNs - Confirmed 4G - xda-developers
- install APN zip file found here: post #32 of [TING] Flashable ZIP - Fixed LTE for Android Pg 4 | Galaxy Nexus > XDA