What do you drive them with now?
That room size / listening distance is roughly what I have; my speakers are 90-odd db sensitivity and the Hegel drives them (very) well.
I used to have the Marantz PM8005 driving them - nowhere near as good.
(Yes, my floorstanders vs your bookshelves, maybe not an ideal comparison, but...)
Somehow i just can't imagine the wiim amp doing justice to your speakers in that room / setup.
I guess you'll never know unless you try it, but
@Smartplug didn't choose that name for nothing...