It's hard to give advice without knowing the use case and the requirements. However, I wrote a tip about LIKE for the SQLServerGeeks Magazine, and it is now also avilable as a blog post:
https://sqlservergeeks.com/a-tip-to-optimise-like-searches-by-erland-sommarskog/.
The other alternative is to investigate full-text, which I briefly discuss in the blog post. I also briefly touch at a third alternative - and not that it is heavy artillery.