I've never done a Hunter's Star but I did make a One by One quilt that is a kaleidoscope-type quilt and all HST. I didn't paper piece, I just starched the fabric until it was like little pieces of paper and had no trouble with the bias. You might try that a see if you can work with a non paper pieced method.
You can also do foundation piecing without it being PP. I made a wall hanging that was supposed to be PP, but I traced it onto muslin fabric and used it that way. I worked fine except that I used sharpie on part of it thinking it was permanent. Not always. I had to redo a block because when I was pressing I used a spurt of Best Press to press it flat and the sharpie bled thru onto the white back ground. Other than that oops. I worked fine.