Premiere is designed for network renders through After Effects. Here's the problem: File Location, right?
Share the drive, map the drive to the same letter on the other machine. The drive should be external of your system drive, if not, get two nice heavy hammers you can hold with one hand and hit yourself in the head until you find some sense... ...I'm just kidding by the way. We've all done that one. If you placed the whole thing on your main drive, copy it to an external, leave the original on your main drive as a backup. Share the external drive. Now map it to the same location (Drive letter) on your other system. Now run the job in media encoder. Ta and Da, you can use your main system while another system handles the grunt work; you'll still have some performance dedicated to file movement. If you render on your slower system, it'll take longer.
AE can split up the Rendering Decompression step. Once you have a folder of images, you can compress it with the audio added in AME much faster. By splitting up the work, you can capitalize on all your resources. Renderfarm in AE, and then use AME on the stronger or less used machine. It'll cut the workload for both machines, and allow you to use your network backbone to transfer data. I also recommend you attach a second network card, then link them together over an ad-hoc intranet by setting the ip and subnet tight. If you disconnect the second (render only) machine from your router, it will only have intranet, and your computer will pass files to it faster, without confusing nic's. Now your main internet connection won't bog down either. If you can add a fibre based connection in this manner, you're gold, but you can get away with USB3 interconnection devices, or even thunderbolt for faster transfers.