The troupe, who are often seen performing as the Rangers cheerleaders, includes four members from Cumbernauld - founder and manager Kay Lang, Leanne Docherty, Laura Dunnachie, and Kirsty Doyle.
The team performed twice on Sunday's Channel Five Don't Stop Believing show, contending with Three Spires for a wild card spot in the final, but sadly the judges chose the latter after much debate.
However, Kay remained upbeat and was not too disappointed to miss out on the final.
She said: "We feel immensely proud of ourselves, the combination of singing and dancing worked really well.
"In preparation for the contest, we teamed up with singers, led by 2006 X-Factor finalist Nikitta Angus, to add another dimension to their performance.
"We definitely had one of the most technically difficult routines in the show, we didn't just step-tap."
Kay added that the girls were boosted by a great deal of backing from friends and family.
She said: "When we came off the show we all had about 80 text messages from people saying we were robbed. It felt great to have all that support."
BLOK are keeping busy, with forthcoming bookings including performing at Ibrox before the match between Rangers and Newcastle on Saturday, August 7.
The troupe will also be holding auditions on September 5 and interest has exploded following their TV exposure.
Kay added: "Our email has just gone non-stop with girls wanting to join us.
"We took part in this competition to get people to know who we are and generate some interest, and we certainly seem to have succeeded in that.
"There are loads of girls wanting to be part of BLOK and help us take it to the next level."
The girls' spirits are also raised by encouraging words from the show's judges.
Charles 'Chucky' Klapow even told them he thought they were better than the LA Lakers cheerleaders.
What's more, several offers of work - including further TV appearances - have already been coming BLOK's way.
However, Kay is not rushing into things.
She said: "We're not doing this just to get on telly. I will only agree to things I believe are good for the troupe.
"So far we have done two televised competitions - this and Move Like Michael Jackson - and they were both very positive for us."