What solutions are Verizon Wireless offering for customers such as myself who save voicemails besides sending files to CBW Productions?
VERIZON offers Basic VISUAL Voicemail, which allows you to download and save the audio files indefinitely. It is included on smartphone plans. That is it for what Verizon is offering.
I gave you other alternatives (You Mail, Google Voicemail) that are free, and allow you to download and save the Voicemails indefinitely, since that seemed to be your primary concern. Both of those services work well.