Just to provide another viewpoint, I neatly printed all of the applications that did not have the capability to be done by computer without adding extra software. I had no problems at all getting interviews at my top choices, and ultimately took a fellowship at a very competitive program on the west coast, an application that I hand wrote. I think if you are a good applicant you will get interviews, sometimes we overthink the process and revert to the hoop jumping skills we have honed throughout our education.
The application isn't about print or type (unless they say so), it's about who you are...if anything, printing may make you stand out. Talk to the coordinators at the fellowship programs about this or any other questions, and be engaging. As long as you have the credentials, and do not write like chicken scratch , you'll do fine.