I would do it in strips. The only bias you'll have will be on the four sides, and as mentioned you can prevent an issue with that by stay stitching. Doing it in blocks doesn't prevent any of the bias edges if you're using the strip method to make the blocks, and it does create problems in matching points and seams.
Doing it in strips would also make an easy quilt as you go project, and the batting and backing would provide extra stability for the bias issues.