Are these cotton men's shirts? I think a scrappy look would be fine. Personally, I avoid triangles whenever possible because they just introduce problems for me. :)
If you have 3.5" strips and 3.5" squares, they can look really nice just randomly pieced into long lines that are then separated by sashing. (Sashing would be a single color tying everything together.) The quilt on the cover of the following book is similar to what I am thinking of, except that the colored pieces would be of mixed random lengths. Click on the link below to see the type of quilt I am thinking of:
http://www.amazon.com/Quilts-Made-Mo.../dp/1607050153