Query performance of searching pattern

Question

I have the following sample data for understanding the requirement.

Table:

create table ft_test
(
    col1 int identity(1,1),
    col2 varchar(max)
);

insert into ft_test values('John A Henry');
insert into ft_test values('Dsouza mak Dee');
insert into ft_test values('Smith Ashla Don');

Edit:

CREATE UNIQUE INDEX UIX_test_Col1 ON ft_test(col1);

CREATE FULLTEXT CATALOG ftcat
WITH ACCENT_SENSITIVITY = OFF

CREATE FULLTEXT INDEX ON ft_test  
(col2 LANGUAGE 1033)  
KEY INDEX UIX_test_Col1  
ON ftcat  
WITH STOPLIST = SYSTEM

Notes:

1. Search for the given pattern in the given column of the table.
2. I have more than 200 millions of records in the table.
3. Created FULLTEXT index on required column.

Looking for best performing search query.

Givens:

1. Pattern: oh
2. Column to Search: col2

Expected Output:

col1    col2
----------------------
1       John A Henry

Try:

1. Using FULLTEXT Index: CONTAINS

   SELECT col1, col2
   FROM ft_test1
   WHERE CONTAINS(col2, '"*oh*"')  
   

No output.

2. Using FULLTEXT Index: FREETEXT

   SELECT col1, col2
   FROM ft_test1
   WHERE FREETEXT(col2, '"*oh*"')  
   

No output.

3. Using Pattern Index: PATINDEX

   SELECT col1, col2
   FROM ft_test1
   WHERE PATINDEX('%oh%',col2)>0
   

Got an output.

Execution Plan: Table Scan

4. Using character expression: CHARINDEX

   SELECT col1, col2
   FROM ft_test1
   WHERE CHARINDEX('oh',col2)>0
   

Got an output.

Execution Plan: Table Scan

5. Using LIKE.

   SELECT col1, col2
   FROM ft_test1
   WHERE col2 LIKE '%oh%'   
   

Got an output.

Execution Plan: Table Scan