Carnell being in ‘Corpse Marker’ is the most compelling reason to consider Doctor Who and Blake’s 7 to be in the same universe, I think.
I talk too much, so I am hiding this bit to make it shorter, but click if you want to read it all
That, combined with the references in the stories ‘Dead Men Diaries’, ‘Three’s a Crowd’, and ‘Prisoner of the Daleks’, as well as how the televised episode ‘Rescue’ on Blake’s 7 used a Sea Devil costume for the creature, plus that Terry Nation had intended to use Daleks in Blake’s 7, I think that those are all strong enough reasons to consider both to be in the same universe. (Also I want the two to crossover, so I simply choose to believe them to be in the same universe. lol And it’s really not as much of a stretch as how I really really want to think of Sapphire & Steel to be in the same universe too..)
The stories with Liv Chenka (when she is in her usual time) would take place probably not too long after Blake’s 7 (if you have listened to the Big Finish ‘The Robots’ sets you will know about connections to ‘The Robots of Death’, ‘Corpse Marker’, and ‘Kaldor City’).
Again, I talk far too much, so click if you'd like to read more
If you consider every Doctor Who story which mentions ‘the Terran Federation’ as being the same ‘Terran Federation’ of Blake’s 7, those could be vaguely around the same time period. In the Doctor Who universe, the Terran Federation lasts between the 26th and 41st centuries, and in the Blake’s 7 episode ‘Countdown’ Blake mentions that the Federation had been in power at least 200 years before then, and with Kaldor being founded by at least the 29th century, with Iago in ‘Occam’s Razor’ saying that in the 2880’s was when he was hired by Uvanov, that would put Blake’s 7 in the mid-29th century probably? So with Doctor Who stories, obviously ‘The Robots of Death’ would be in the same time period, and ‘Robot of Sherwood’ kind of has a connection since that is when the ship from that episode is meant to have been from, and ‘The Beast Below’ said that Earth was affected by solar flares in the late 29th century. (And for some references, stories like ‘Frontier in Space’ and ‘Earthshock’ would be towards the start of the Terran Federation coming into power, being in the 26th century, and ‘The Daleks’ Master Plan’ would be towards the end, being in the 41st.) I may have put too much thought into this.
However, I did have a strange moment the other night with the story ‘The Least Important Man’ because a character says that his favorite show is Blake’s 7, and my mind went “Is this an alternate universe?” but also like, Doctor Who might be a television show in the Doctor Who universe, so I decided that this made no difference to me in my belief that Doctor Who and Blake’s 7 are in the same universe. lol
The new collection of Blake’s 7 is exciting though! I haven’t purchased it just yet but I am really looking forward to seeing what it looks like on this new release especially seeing everyone saying that they like it!