You can add another calculated column on the table: titleLength as len(title) PERSISTED. This would store the length of the "title" column. Create an index on this.
Also, add another calculated column called: ReverseTitle as Reverse(title) PERSISTED.
Now when someone searches for a keyword, check if the length of keyword is same as titlelength. If so, do a "=" search. If length of keyword is less than the length of the titleLength, then do a LIKE. But first do a title LIKE 'abc%', then do a reverseTitle LIKE 'cba%'. Similar to Brad's approach - ie you do the next difficult query only if required.
Also, if the 80-20 rules applies to your keywords/ substrings (ie if most of the searches are on a minority of the keywords), then you can also consider doing some sort of caching. For eg: say you find that many users search for the keyword "abc" and this keyword search returns records with ids 20, 22, 24, 25 - you can store this in a separate table and have this indexed.
And now when someone searches for a new keyword, first look in this "cache" table to see if the search was already performed by an earlier user. If so, no need to look again in main table. Simply return results from "cache" table.
You can also combine the above with SQL Server TextSearch. (assuming you have a valid reason not to use it). But you could nevertheless use Text search first to shortlist the result set. and then run a SQL query against your table to get exact results using the Ids returned by the TExt Search as a parameter along with your keyword.
All this is obviously assuming you have to use SQL. If not, you can explore something like Apache Solr.