Unable to apply discount code on a free order on a subscription.

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We are a subscription service selling stockings.

We want all customers who subscribe to receive first delivery of two pairs for free. We also want to give certain type of subscribers an ongoing 20% discount. And we offer free shipping.

So, to summarise:

1. if a customer subscribes to a minimum of two pairs of stocking per delivery, they get first delivery for free including free shipping

2. if a certain customer is also eligible to a 20% discount, they need to add a discount code when subscribing. This should automatically become applicable from the second delivery

So far, because the first order is zero, shopify doesn't allow 20% discount code to be applied.

Can you suggest any work around?