Both sides scored from the spot as Jordan Rhodes cancelled out Tom Ince's opener before Dan Gosling's long-range effort gave the Seasiders a half-time lead.
Rovers pressed for a way back into the game but when both sides were reduced to ten men after DJ Campbell and Jack Robinson were sent off it seemed their chance had gone.
But a 92nd minute free-kick from Tom Cairney skimmed off the head of substitute Steve Davies and flew into the net to earn Rovers a point.
"It was a game that had everything," said the Rovers boss after the game. "In the end we are going away with a point that we thoroughly deserved.
"Ricardo Fuller is an experienced player and did very well for their penalty. I think if you watch it again I think you'll see that he's got Matt Kilgallon more than Matt Kilgallon has got of Ricardo Fuller.
"We get back on level terms almost straight away through Jordan, but then they score just before the break.
"It isn't a fluke because the lads obviously meant to shoot, but it has gone through Lowey's legs and the goalkeeper is unsighted by a couple of players and it finds it's way into the bottom corner.
"So at half-time we had one or two choice words about going and upping the tempo and you have to give them credit as to how they've responded.
"If you look at the chances in the second half Tom Cairney in front of goal on three occasions could have done more for us.
"Yes it is an own goal, it is a bit of luck at the end but I think over the course of the games so far that was the bit of luck that we deserved.
But the response was very positive from our boys and we are going away with a deserved point."
Rovers are back in action next Saturday when Middlesbrough visit Ewood Park. Tickets are currently on open sale with Adult prices from £12, Seniors/Students from £6 and Juniors are just £1.