Just a suggestion but other Members who have dropped their iPads and broken their screens have found that Apple is operating a completely unofficial, not acknowledged, goodwill once-only-in-a-lifetime, exchange - even when the broken screen was in no way Apple's fault or responsibility.
You might try returning it to an Apple Store and see if they'd swap it. But - and I emphasise - this appears to be a goodwill move on Apple's part and seems to be at the descretion of the individual stores. Some Members have reported no trouble, others have had to ask to speak to the Manager while others had to try another store. But, so far, we've not heard of a single Member who, in the end, has been refused an exchange. So take it back, explain - in your humblest and most polite voice - what happened and see if it will work for you.
Let us know how you get on....
Tim