Quite of few books have been written to incorporate detailed descriptions of British battles, of which the best known are probably William Seymour's Battles in Britain and Their Political Background (1997), A.H. Burne's Battlefields of England (2005) and Philip Warner's British Battlefields (2010), the second volume of which, on northern battlefields, contains his summary of events at Shrewsbury. Any of these would probably satisfy your query.

There are also at least two modern studies of Shrewsbury itself, of which Dickon Whitewood's Shrewsbury 1403: Struggle for a Fragile Crown (2017) is probably the most comprehensive. It is available in a Kindle edition and so is fairly readily accessible.