HashBytes Computed Column: Exclude Column
You could script this as part of your release process.  EG something like:

declare @script nvarchar(max)
with q as
(
    select   concat(N'
    alter table ',quotename(schema_name(t.schema_id)),'.',quotename(t.name),' drop column if exists RowHash;
    alter table ',quotename(schema_name(t.schema_id)),'.',quotename(t.name),'
    add RowHash as hashbytes(''SHA2_512'', concat('''',',STRING_AGG(cast(quotename(c.name) as nvarchar(max)), ',''|'',') WITHIN GROUP (ORDER BY c.column_id ASC),'));
    ' ) cmd
    from sys.tables t
    join sys.columns c
      on t.object_id = c.object_id
    join sys.types ty 
      on c.user_type_id = ty.user_type_id
    where c.is_identity = 0
     and t.object_id in (select object_id from sys.columns where name = 'RowHash') 
     and c.name &lt;&gt; 'RowHash'
     and t.is_ms_shipped = 0
     and c.is_computed = 0
     and ty.name not in ('hierarchyid','xml', 'geography', 'geometry')
    group by t.object_id, t.schema_id, t.name
)
select @script = string_agg(cast(cmd as nvarchar(max)) , N'
') 
from q

print @script
--set xact_abort on
--begin transaction
--exec sp_executesql @script 
--commit