Here are a few ideas:
1) Have people leave the data in a voicemail box. Then pay someone to transcribe the messages. The person who does the transcription need not be local if they have access to the Internet, so you can cast a wide net and find an inexpensive resource.
2) Email appliance that dials up via an analog phone line. There are a few of these devices out there. Small, solid-state device with no moving parts to break, and no software to learn. I don’t think Earthlink/Cidco makes the mailstation any more, but you might be able to use a used one with any old ISP. http://iowacomputing.stores.yahoo.net/cidmiv200mai.html
If the people sending you info are local and your organization has some kind of IT infrastructure, you wouldn’t even need Internet access for them. You could have them dial in to a modem attached to your network, and either send mail directly to your mail server, or piggyback on your internet connection.
HTH,
Zac