"I feel like I have been in so much control, my body is in a good place, my skills are as good as they have ever been. I don't feel like I'm bowling badly or am losing pace or that I am on the way out. I still feel I can offer a lot to this team," the pacer said.
England had yet to start their innings when play resumed on the third day, with Australia 12 runs ahead after Steve Smith's 71 had led them to 295 all out. But England needed only one over to erase that deficit.
The fifth-day washout handed the urn to Australia as the most pessimistic forecasts came to pass and relentless rain meant the players never made it to the middle in a miserable weekend for England. Only 30 overs had been possible on Saturday.
The 33-year-old Bairstow faced 81 balls, smashing 10 fours and four sixes, as he just fell short of what would have been his 13th Test century. All of Australia's three frontline bowlers conceded more than 100 runs, with Josh Hazlewood taking 5-126 in his 27 overs.