It was looking as though the Alex were heading for victory when substitute Brad Inman fired them in front clinically with just eight minutes left, but in the final of four minutes of added time Bury skipper Steven Schumacher was felled by Mark Ellis and Andy Bishop beat Steve Phillips from 12 yards to earn a much-needed point.
It was just reward for a relegation-threatened Bury side who probably should have scored more than two goals.
Blackwell said: "It maybe feels like we should be happy to have secured a point with such a late goal, but once again chances have gone begging and that's so frustrating.
"We've done it again. Time and again we're getting in their box but the ball just isn't always falling for us. I can't fault the lads though for all that.
"We're struggling down at the bottom but they're giving me everything.
"They're as desperate as anyone here to get out of this mess, even a bit frantic, and I suppose we have got something out of the game.
"It's the same old press conference, though. We talking about the could've the should've and probably the would've. We won't give it up, though.
"We'll keep plugging away and if we keep putting in effort like this, then who knows what might happen to us at the end of the season."