You could make the center square larger to fit your food fabric and just add a few narrow logs around them. That would keep the pictures more intact.
If not, you can cut your logs any width you want to suit the pattern.
The log cabin is very versitile. Have a look at some in the picture gallery here:
http://www.quiltingboard.com/user_page.jsp?upnum=2203
The first one from pollyv9 shows what I am talking about with the larger center.