Climate change skeptics often question the financial motivation of climatologists. It's certainly something to consider, but they rarely propose alternatives.
For example, a committee could be set up to investigate climate change science. The members would be already-retired volunteers from non-climate STEM disciplines who get the same stipend regardless of their findings, and are not permitted to receive money for books or speeches on the subject afterward. Their background would have to be mostly apolitical, meaning any political opinions in the public record are fleeting and incidental. The selection process would be similar to jury duty.