First you need a method that returns the Field DBType (coz the timestamp .netType is byte[]). You need to extend the DataAccessAdapter class:
namespace yourProject.DatabaseSpecific
{
    public class MyCustomAdapter : DataAccessAdapter
    {
        public IFieldPersistenceInfo getFieldDBType(IEntityField2 field)
        {
            return base.GetFieldPersistenceInfo(field);
        }
    }
}
Then your conversion code, would be (I think):
#region "Conversion Methods"
        /// <summary>
        /// Creates a new entity instance and copies over the values of this DTO
        /// </summary>
        public <[CurrentEntityName]>Entity ToEntity()
        {
            return ToEntity(new <[CurrentEntityName]>Entity());
        }
        
        /// <summary>
        /// Copies over the values of this DTO into the entity passed in.
        /// </summary>
        public <[CurrentEntityName]>Entity ToEntity(<[CurrentEntityName]>Entity toFill)
        {
<[Foreach EntityField CrLf]>        
             //--------------------------
             IFieldPersistenceInfo fieldInfo = new MyCustomAdapter().getFieldDBType(<[EntityField]>);
            // not timestamp (timestamp is enum 19 in SQLServer)
            if (fieldInfo.SourceColumnDbType  != 19)
            {
                 toFill.<[EntityFieldName]> = _<[CaseCamel EntityFieldName]>;
            }
            //--------------------------
<[NextForeach]>
                
                
<[ If IsSubType ]>          base.ToEntity(toFill);<[ EndIf]>        
            return toFill;
        }
        
        #endregion
No tested but should works. Let me know if you make it.