Are there any specific times when the plane is out for drops or the plane drop crates at random timings. I want to try a fun game where I want to only hunt and get those drops
Airdrop timings are somewhat random, there is no guaranteed time to get a drop and no way to predict what time it will be before it happens.
The best way to get a game in which you get all the drops is to simply grab a bike and chase them all.
There is a slight prediction you can do, in that the first drop will always be in the play area, and each subsequent drop must fall at least within the blue circle.