Cloggy,
My mother started me out on cued speech within 4 months of my deafness being confirmed ,so I don't know if this would help you. But For me, it was a helpful tool until I could lipread without visual aid. And Even if your daughter doesn't show much interest in it now, I think she'd be glad to have the lipreading skill later in times where she can't use her CI, like swimming, bathing, ect. So If i were you, I'd try to get her lipreading even if you only practice a few minutes each day. At least she'd gain some skill at lipreading for those times she can't use her CI or if for whatever reason, her CI is unavailable. Of course I am speaking of accidental breaks, malfunctions, whatever. I am not trying to advocate cued as a language, but merely a training tool to lipreading.