I love love the Rose background.

I love the rose except for losing the tops of the boxes. I would be interested in seeing a darker tone of the green.. along the tonality of the rose, if you have something like that. The purple is just too dark I feel. Something a few shades lighter might work, again in the tonality of the rose.
Your blocks are lovely!
Another option would be a thin strip of your solids around the blocks like 1/2", to seperate them just enough before you join them in the usual way. I would add the strip to each triangle. You would only have to unstitch about half inch so you could get in your 1/4" seam. And use a 1" strip to start so half inch is left after seams.
LOL sounds like a lot of work doesn't it?

The Green has my vote the green make it looks so beautiful because of the little green in the pink design no question GREEN

Love Love Love the mint green!!!

I like the green, it sets the hex's apart since they don't blend into the background.

I like the green.

I like the green, it looks more like spring or summer colors.

Not enough value difference in the green background and the pink design. I like Purple the best - a darker green might work well, too.

Green

I like the rose.