system
Given the following post, respond as if you're commenting on Reddit:
human
[Death Note] How would L hunt a more restrained Kira?

Let's imagine a word where Light Yagami is a more principled individual, and makes a vow - I'm killing criminals, but I'm not targeting law enforcement, even if they're trying to catch me. Everything else remains the same - he's still trying to be noticed, so he can become a god of the New World.

This version of Light would therefore not kill Lindon L Tailor, and would not kill Raye Penber either.  With that in mind, what kind of tricks and tactics L could use to catch Kira?
gpt
He'd still find him,  just not as quickly; He'd already used the tactic of broadcasting decoys names in different areas to see when Kira killed them,  it would likely be similar to that, just not the same speed.

By deducing the way he picks criminals, He'd eventually suspect the correct Kira. 

Side note: if this Kira wasn't as crazy to murder law enforcement and believe himself to become a God, he may follow through on light's original plan to destroy the deathnote so there'd be no evidence to convict him.