level balance CBC & ASD

I am designing CBC study. Need to use ASD in order to test different packaging with only one of the products tested.
There are over 10 products to be tested. I want to have 8 concepts per task.
I need each product to be presented no more than once per task - that is why I consider only complete enumeration or shortcut methods for the design generation.
When I use Complete Enumeration, it oversamples the product included in ASD - it is presented on each screen.
When I use Shortcut the product count is ok (no oversampling of product included in ASD) but at the cost of level imbalance and loss of design efficiency.
Is there any way I can make Complete Enumeration stop oversample product included in ASD?

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