You could consider names like:
* Tíobhraidh (Teev-ree): This name has a similar sound to Tyler, though the meaning is different (it's related to "Tíobhraid," meaning "Tibor" which is of Hungarian origin, and ultimately meaning "people's brightness").
Ultimately, the best "Irish Gaelic" equivalent would depend on the specific aspects of the name Tyler you want to emphasize. There's no single perfect answer.