Using your dynamic code as an example this will produce the same results but as a single query instead of 1 query for each column.
declare @thing nvarchar(max), @table sysname = 'SomeTable'
select top 1 @thing = 'SELECT ''' + @table + ''' as TableName, ' + STUFF(
(
select ', MAX(LEN(' + COLUMN_NAME + ')) as ' + COLUMN_NAME
from information_schema.columns where table_name=''+@table+'' and data_type <> 'ntext'
for XML path('')), 1, 1, '') + ' FROM [' + @table + ']'
from information_schema.columns where table_name=''+@table+'' and data_type <> 'ntext'
exec sp_executesql @thing
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Need to split a string? Try Jeff Modens splitter http://www.sqlservercentral.com/articles/Tally+Table/72993/.
Cross Tabs and Pivots, Part 1 – Converting Rows to Columns - http://www.sqlservercentral.com/articles/T-SQL/63681/
Cross Tabs and Pivots, Part 2 - Dynamic Cross Tabs - http://www.sqlservercentral.com/articles/Crosstab/65048/
Understanding and Using APPLY (Part 1) - http://www.sqlservercentral.com/articles/APPLY/69953/
Understanding and Using APPLY (Part 2) - http://www.sqlservercentral.com/articles/APPLY/69954/