Almgren's mimeographed lectures notes on varifolds
I just bumped into your post after doing some google search to find a bibtex entry for Almgren's notes.
I have a copy of them: I could copy it and send it to you (or maybe scan it and share it via dropbox). However before getting to the combinatorial arguments you would have to go through quite a lot of material. I am writing a paper with a PhD student where we modify Pitts' theory for the case of surfaces with boundaries and we have a separate section with the relevant combinatorial argument, which is probably easier to understand. If you are interested please contact me by email. My name is Camillo De Lellis and I work at the math department of the University of Zuerich: you find my email address in my web page there
Here is the story behind these notes, and a redirect to On the First Variation of a Varifold, W.K. Allard (1972).
a quote from: Selected Works of Frederick J. Almgren