I don't assume that the fuse is blown as I have seen many faults, including a failed pre-amp tube or failed power tube that have not resulted in the HT fuse blowing. I also know that a fuse blows for a reason & that that "reason" must be sought out & rectified. Reading the bracketed text after the enquiry about the HT fuse should have made that obvious.
While checking for the presence of the negative bias voltage at power tube sockets isn't a bad idea & a run away power tube due to no negative bias voltage may be a possibility, if we think of the "symptom" described by the OP (amp playing ok, then popping sounds, flashes of light etc), a run away power tube is not at the top of my list of possible causes.
As to most (or very often) blown fuses, tubes etc being speaker related, I beg to differ. Fuses blow due to excessive current draw & the possible causes of this are too numerous to list.
Power tubes most commonly fail in guitar amplifiers due to excessive screen grid current (screen grid melts down & arcs out, giving the "light show" symptom), usually caused by how they are run in most guitar amps (screen grids only a few volts lower positive potential than the anodes at quiescent condition, & quite often the screen grids are being run at above the design maximum rating). When anode voltage falls due to signal conduction, the screens become the "most positive" element within the tube. Screen grid failure does not always blow the HT fuse.
Cheers