Sooo ...... if it's a take-to-chemo quilt .... from the posts it looks like the best "sandwich" would be flannelette backing, poly batting, and cotton front, with mindfulness to the colour choices.
Provides non-slip, squishy, light, fluffy and easy to carry.
On another thought ... is this quilt to be an at-home quilt? Then that may change your thoughts as to the overall structure and colours!