I say this regularly but if looking at the two cheaper 150-600 options I would always recommend the Sigma C over the Tamron G1. The G1 has to disable the VC when panning, although it does so automatically now. The Sigma has the usual mode 1 and mode 2 settings, as on Canon lenses. I used an early G1 with the VC active while panning and it was a complete disaster. I love my Sigma C but don't have a TC as I am running a 50D, so no ƒ/8 AF.
I've shot airshows at focal lengths of 400mm and more since the mid 70's and have tried both tripods and monopods without much success. Generally at airshows you need to make a lot of very wide pans, with 180° by far the most usual. This means you end up needing to move around the tripod/monopod to follow the subject I would be wary of using either unless I could be pretty sure of keeping the subject in a 45° arc either side of the centerline.
To get around this, and still get a lot of extra stability I have used shoulder stocks instead. These allow you to swing the camera with ease, and make for much smoother panning than hand held. They also help with the weight of the combination, something that is very important for me as I am disabled. Back in my film days I used a commercial shoulder stock, there were several designs avilable back then. The system I use now is one of the 15mm rod systems intended to build DSLR video rigs from. I assembled mine in a way that suits using it for my needs for stills, not video use. My daughter got it for me from one of those Chinese places like Banggood, and it was under £15 delivered. The only thing I did was replace the very poor quality machine screws with quality stainless steel socket cap screws from a local industrial fastenings factor. That only added about £1.50 though.
I modified an old broken remote cable so that it has separate AF and shutter buttons. I have shot BBAF only for so long that using a double press button is difficult, especially with my disability. Although one can press the shutter release without first activating the AF, my 50D seems to always want to AF regradless, since you have to have AF enabled on the shutter button for the remote to trigger the AF at all.
Some pictures of my 50D/Sigma 150-600 C rig:
Alan