Figuring out how best to have browsers check the logs are truly accurate while preserving user privacy (e.g. obviously if you call a log to ask "Did you log this certificate for clown-porn.example ?" it gives them a good idea about your taste in circus-related adult content which you probably don't want them to have) is an ongoing topic of research.
With SCT checks you're in very good shape already today - bad guys would need to compromise several distinct entities to successfully pull this off. It's just not quite "Fire and forget" safe yet.
The SCT is signed by the log, so if you want them to lie you'd need to control enough logs to get enough qualified SCTs. Bad news, for Chrome that means it must include a Google log, which means now you're asking Google to conspire against themselves.
For now you could sidestep this by issuing bogus certificates with back-dated issuance dates. But that will stop working once those dates are too long ago for a certificate to still be valid. I think that happens some point later this year or in 2021 maybe? If you show Chrome (perhaps other browsers but I've read the code in Chrome) a certificate in which the lifespan (between NotBefore and NotAfter) exceeds the maximum permissible lifespan at that issuance date, it treats the certificate as invalid anyway.