How to compose a query from 3 tables in Django ORM?

Question

Django

There is a training database from 3 tables. Country, clubs and fans of clubs.

class Country(models.Model):
    title = models.CharField(max_length=20)
    strength = models.IntegerField('Численность')

    def __str__(self):
        return self.title


class Club(models.Model):
    title = models.CharField(max_length=20)
    country = models.ForeignKey(Country, on_delete=models.CASCADE)

    def __str__(self):
        return self.title


class Fun(models.Model):
    name = models.CharField(max_length=15)
    club = models.ForeignKey(Club, on_delete=models.CASCADE)

    def __str__(self):
        return self.name

It is necessary to compose a queryset of instances of the Country model, annotated with the number of clubs with the number of fun greater than n.

If we omit the requirement to create a queryset, then it turns out to be solved with the following query:

Club.objects.annotate(c=Count('fun')).filter(c__gt=<n>).annotate(total=Count('title', distinct=True)).values('country__title', 'total')

If you try to enter all the same with getting a queryset, then I came up with just such a mess:
we make a subquery:

sub = Club.objects.filter(country=OuterRef('pk')).annotate(c=Count('fun')).filter(c__gt=<n>).annotate(total=Count('title', distinct=True)).values('total')

Paste in the main query

x = Country.objects.annotate(result=Subquery(sub[:1]))

It seems to work. Is there any easier way to implement this? Without Subquery.