I have to give the author credit for giving Mel a sword like that: a slender, light thrusting sword. Mel herself probably weighs 20kg, or something, so giving her a big ass sword would have been just weird. She's clearly the speed type.
Can't you just like, make an elastic bellyband or something and apply the effect to that? Or maybe try applying it to the strap of her bag so it warms her while she carries it.