I found this on electronics.stackexchange.com, so we may be in luck.It's too bad then that LTS doesnt work in time domain for noise analysis, but maybe they have a separate noise source we can put into the circuit? Or maybe they allow a "rand" function in one of the function sources.
That's what i used in the past, but not for LT Spice yet.
LATER:
Ok rand works but will take a little fussing with to get a decent 'noise' signal.