Just want to give you some helpful information. A lot of companies looking for remote coders want the coders to be certified, have experience coding, there aren't to many companies out there that will hire a remote coder who isn't certified and doesn't have experience coding. If I were you I would try to get into a hospital or a physicians office and be on-site first to get the experience. I will tell you that I have noticed a lot of hospitals are starting to move to remote coding, so you never know you might get in with a hospital or physicians office that might move towards remote coding.
But I would get the on-site experience first and pass the CPC. Like I said a lot of companies want a coder who is experienced in the coding world.