So the best available communication is often cellular, if any.
On the other hand malaria is a disease that only affects some parts of the population - namely the one that lives in malaria affected regions. Large parts of southern Africa are mosquito-free, hence no Malaria. To make up for that there's a ton of others diseases, so if you eliminate Malaria, you still have to fight Schistosomiasis [1], Trypanosomiasis (sleeping sickness) [2] HIV and a lot of other diseases for which treatments may or may not exist. In a country where the average infection rate with HIV hovers at about 30% the gain from eradicating Malaria is limited at best. Let's not get into poverty and access to most basic health care.
It's not a simple problem that allows for a simple solution and even eliminating every conceivable disease that affects people in developing countries will only be one minor factor to improving the situation there. Those people need access to knowledge and information as much as they need health care and water. Otherwise they'll forever be stuck on western subsidies - just healthier and longer.
[1] http://en.wikipedia.org/wiki/Schistosomiasis [2] http://en.wikipedia.org/wiki/African_trypanosomiasis
Doctors and nurses may have communications, but many countries do not have doctors and nurses even in every city, much less every little village.
It's clear we should be careful about not displacing funding for basic health care improvement with basic internet access, but they are not nearly always in opposition, and besides providing health care information, uses such as improving economic opportunities by giving access to market/pricing information also matters - for someone having to spend days getting their stuff to market, going to the right town to get the best price will also affect health: ability to afford sufficient food and shelter for starters.
We already have communications options available in those regions. The very same ones used over the last decades, whether its radio, hardline phones, cellular or even satellite.
Doctors and nurses out there already have communications. The issue here is that spending money to provide internet to the masses there is not as beneficial as making sure they live to use it.