Django complex filter and order

I have 4 model like this

class Site(models.Model):
    name = models.CharField(max_length=200)

    def get_lowest_price(self, mm_date):
        '''This method returns lowest product price on a site at a particular date'''

class Category(models.Model):
    name = models.CharField(max_length=200)
    site = models.ForeignKey(Site)

class Product(models.Model):
    name = models.CharField(max_length=200)
    category = models.ForeignKey(Category)

class Price(models.Model):
    date = models.DateField()
    price = models.IntegerField()
    product = models.ForeignKey(Product)

Here every have many category, every category have many product. Now product price can change every day so price model will hold the product price and date.

My problem is I want list of site filter by price range. This price range will depends on the get_lowest_price method and can be sort Min to Max and Max to Min. Already I've used lambda expression to do that but I think it's not appropriate

sorted(Site.objects.all(), key=lambda x: x.get_lowest_price(the_date))

Also I can get all site within a price range by running a loop but this is also not a good idea. Please help my someone to do the query in right manner.

If you still need more clear view of the question please see the first comment from "Ishtiaque Khan", his assumption is 100% right.

*In these models writing frequency is low and reading frequency is high.