Although you would like to use Musical Fidelity, maybe a Bryston 14BSST would do the trick. It is bridged and has excellent reviews, class A sterophile, etc Click on www.bryston.ca for imfo and reviews.
I read in one of those reviews that they used the 14 BSST with your SL3's with excellent results. I run ML Oddessey's with a Simaudio moon W-5 , which is an excellent match as well, although it isn't bridged. Hope this helps.