I finished candlewicked blocks into a quilt for a friend a few years ago....the pictures were very poor so won't share here....and then handquilted it. The blocks were set with sashing of a very good muslin to match the background of the candlewicking. I used a natural crochet thread 10 wt. to handquilt it. The quilt looks like a whole cloth quilt and the owner was delighted with it.
If you have only the four blocks shown, maybe you could make a wall hanging or table topper. If you use a very contrasting color with the blocks, that tends to take away from the candlewicking as your main focus. To me, this sort of handwork is better viewed as a neutral or natural whole cloth item, whether you hand or machine quilt it.
Please share when you finish!
Jan in VA