Hubble Question...

With or without any future service the Hubble will some day go offline.
There have been a lot of ideas floating around as to what to do then.
I was wondering if it could be possible to boost it to a LaGrange Point,
rather than de-orbit it? Is an earth-moon point stable? I know the
earth-sun point can be used as the SOHO satellite is there, but it
would require a lot more fuel to reach. Apparently, recovery of the
Hubble for placement in the Smithsonian is not possible, so I wanted
to put an alternative idea out for discussion.
Bruce