You might want to consider installing Wine to see if you can use those two applications within Linux. I've had great success with Wine on a Linux desktop. You may be able to have your cake and eat it, too.
I'm surprised the author did not include that as an option.
Next Up: getting my old Leading Edge Word Processor to run on WINE
2010 32bit version of Visio is rated as Gold on the Wine DB. I have not tried it myself but it seems to be greatly improved over the last time I tested it. I will have to check again.
As for Project, 2010 is rated Gold, 2013 is rated Garbage