Crickets from me because I was ... sleeping. Priorities!!
If there is a coverup .. well, it depends. How large, how organized, how well funded, and for what purpose? At what point does the damage from continuing the coverup outweigh the damage from discovery of bigfoot? I think that's the core of the question and each person's answer likely is rooted in what they think bigfoot is, thus the reason for the coverup.
The best we could hope for is the reasons are not that important and, in the face of great effort coming, those in charge of the coverup just throw their hands in the air, say "forget" it, and let the discovery proceed .. maybe spend their time and effort concealing the coverup itself rather than trying to hide bigfoot.
Worst case, though, if there is some serious reason for hiding bigfoot's existence, then the scientists are putting themselves in grave danger. I do not think gov't has any delusion of being able to find and kill every last bigfoot. If they try that and even one escapes, they've guaranteed that proving existence will happen and all the consequences stemming from proof will happen. If there is a conspiracy, I don't believe they'll risk it. Alternately, the scientists involved might be presented with an ultimatum: stand down or you and your family die. It wouldn't be hard to concoct a story that they were all working on some dangerous new contagion, there was an "incident", and all contracted it and perished. It seems more feasible for conspirators to do that successfully than to kill the bigfoots.
Alternately, they tell us WHY the bigfoots are a danger that must be ended, and then go ahead trying to kill them openly. That might be the most likely.
I don't believe there's a cover up, though. I think I'd have been told to stand down or face consequences. Hasn't happened.
MIB