Iodine will oxidize beta-alanine to mandelomononitrile. Alpha-cyanocarboxylic acids of this sort usually decarboxylate easily, in this case producing the desired acetonitrile.
That would definitely be the first thing I'd try. If iodine availability is an issue, peroxide may be an effective co-oxidant.
The issue that springs to mind is that in a basic condition the alpha carbon may deprotonate, rendering it susceptible to oxidation, so neutral or acidic conditions are preferable. This disqualifies most common bleaches, which would not be good co-oxidants.