The common solution is to use separate antennas - often an
omni vertical for FM modes, and a yagi for weak signal work
on CW/SSB/etc. (Depends, of course, how far you want to
work on the FM modes.)
Often beams are optimized for one part of the band, either
144 - 144.5 MHz or 145 - 148 MHz, on the assumption that
they will be used for one or the other, although there are
designs that will cover the whole band.
It is possible to use a single yagi and rotate the boom to
move the elements from vertical to horizontal or
vice versa.
I've see this done with a couple of bearings, a lever arm,
and a pull rope, or the type of antenna rotator that is hollow
through the center could be used.
With a quad you only have to rotate the driven element
(or the back two if that is more convenient). Or the
driven
element can have two feedpoints (and separate feedlines).
The antenna can then also be used for circular polarization
if desired by driving both feedpoints.