There's no way you can protect yourself on a system that old. Frankly you're vulnerable to far worse than Meltdown / Spectre on 10.6.
macOS 10.6 has not received security updates since 2013. Apple chooses to patch systems from the current OS and two previous. So for now they are only patching El Capitan, Sierra, and High Sierra.
I'm not judging your decision to hang onto this older hardware, because you may have a very good reason. However, in the modern world we should all factor the increasing security risk as a cost of not upgrading to modern hardware / software. If you are curious as to what exactly you are vulnerable to, I suggest checking out
https://support.apple.com/en-us/HT201222 and following the links for 2013 and 2014. From a software security scanner's standpoint, you are vulnerable to all of the vulnerabilities (that apply to macOS in that list anyway). Many of those vulnerabilities are kernel exploits, remote code execution exploits, ect. The older the software is, the more likely that an exploit will exist on a site like exploit-db.com and be common knowledge to even the most novice of hackers.
I hope this helps you.