Try an Ovation 12-string. Whatever people say about them, mine stays in tune, concert pitch no 'tuning down'. Minimal intonation problems (I use standard Shubb capo, not the '12-string' one.)
Also regarding Tim Leaning's post "...do the thick strings have to be ahead of the thicker ones on the downstroke?..."
I find this as well, woth finger/thumb or with a plectrum. You can get a nut cut the other way around. Apparently Rickenbacker electric 12-strings do this. I mean to try that some day. Alternatively just use a single E and A (10-string)