> __Orgs__
> id
> name
>
> __Seasons__
> id
> org_id fk(orgs.id)
> name
>
> __Teams__
> id
> season_id fk(seasons.id)
> name
>
> __TeamFees__
> id
> team_id fk(teams.id)
> *org_id<--- (?put extra fk here to avoid many joins?)
NO.
instead of it
use triggers before insert/update
CREATE FUNCTION foo() RETURNS TRIGGER AS $$
BEGIN
SELECT org_id INTO new.org_id FROM __seasons__ WHERE id=new.season_id;
END;
$$ LANGUAGE plpgsql;
et cetera.
AND now other way lead you to the future.