I have not used every Internet Fax programs, but the ones I have used including eXtremeFax and RingCentral WILL allow you to fax directly from AC. Most of them work on the same principal as all of these programs whether regular modem or Internet: Print to fax. With RingCentral, you simply brought up the prescription writer and used the RingCentral print driver and then sent it via Internet.
At this point, there is really no huge advantage with Internet faxing over regular fax unless you feel too bogged down from the cash in your wallet. At roughly seven cents a pop, it adds up.
It really is easy (although you may have to fork out a few bucks) to network a fax machine with PC to Fax capabilities.
If you Internet fax, you have to go analog to digital, and there must be an Internet fax server out there, i.e. RingCentral, eXtremeFAx, eFax which will convert it back to analog and route it to the appropriate destination. The fax machine Adam uses can use direct Internet faxing or email to fax, but there must be a recipient out there with the proper software to receive it.
I have also found that regular fax modems and sending it directly yourself is more reliable and quicker than Internet fax. Try as we might, it is going to be very hard to kill the fax machine.