Diamonds were thrashed 8-2 by the same opponents at Hayden Road in October but there was nothing to separate the two teams in the reverse fixture at the Victoria Ground.
The stalemate leaves Diamonds in 11th place in the BetVictor Southern League Premier Central.
But Peaks was impressed with what he saw from his players in the West Midlands.
“It’s a fantastic point and I am really pleased with it,” the Diamonds boss said.
“It was a good performance from start to finish really, the boys stuck to the task.
“We set up a bit differently with a different game plan and they followed the instructions perfectly without actually putting the ball in the net. That was the only thing missing.
“But it was really good overall and I am delighted with them.
“I think it was an important game for the players. They owed the club, me, the supporters and everyone a performance because we got rolled over a bit too easily last time.
“It was important we set the record straight.
“Bromsgrove were keen to get the game on because they probably fancied their chances and why shouldn’t they?
“So it was really important that we gave a good account of ourselves and we did that. Come the end of the game, I don’t think anyone could have argued if we had won.”
Diamonds’ festive programme continues on Boxing Day when they entertain Peterborough Sports, who moved up to second in the table after a 5-4 success over Barwell.