Below is the table structure an my attempt at writing the Linq.
(from a in Activities
join ov in OrganizationVolunteers on a.OrganizationID equals ov.OrganizationID
join av in ActivityVolunteers
on a.ActivityID equals av.VolunteerID into JoinedActVol
from av in JoinedActVol.DefaultIfEmpty()
where ov.VolunteerID==1
select new
{
a.ActivityID,
a.ActivityName,
av.ActivityRole,
a.OrganizationID,
OrganizationName = (from o in Organizations where o.OrganizationID == a.OrganizationID select o.OrganizationName).FirstOrDefault()
}).Union
(from a in Activities
join av in ActivityVolunteers on a.ActivityID equals av.ActivityID
where av.VolunteerID==1 && a.OrganizationID == null
select new
{
a.ActivityID,
a.ActivityName,
av.ActivityRole,
a.OrganizationID,
OrganizationName = ""
})