I would use the Warm and Natural because it is needlepunched through scrim. This makes it ***very*** stable.
Puffy polyester is more likely to ball up over time, especially if it is not needlepunched. Dream poly might be okay, as it is needlepunched (although not through scrim).
Check the batting wrapper to see how far apart quilting lines need to be. That is a good indication of stability for tying. I believe W&N has the farthest apart -- ten inches or so.
I haven't hand tied, but I would spray baste the same as I do for all my quilts. People hand quilt through spray basting, so I imagine it works fine for hand tying also.