Actually, there is a non-taxable dividend category under income class. It is called Dividend-Non Taxable Dist. I don't think this applies here because of the cost basis adjustment needed. But in the future, if it was a basic stock div, you could deposit the value amount as a non-tax div, and then buy the "new" stock. The company issuing the stock dividend should have sent you a notice telling you what the cost basis adjustment should be. If they didn't, then you can get it from the brokerage house where you are holding it.
When the cost basis is affected on a stock dividend, then you have to :
1. Sell the OLD stock at cost with no tax affect. (change the tax code so it doesn't show on Schedule D)
2. Buy the OLD stock back at the NEW adjusted cost for old shares, same date and shares etc.
3. Buy the NEW stock for the NEW adjusted cost for new shares, with same date as old stock.
Make sure a memo on each transaction details what you are doing.(i.e. Stock div - new Cost Basis 28% of old stock ABC Co)