The tone heard on the record player speakers has been through many a process in addition to pickup>effect>amp>Speaker.
100w Plexi is such a nice name, and such a brutal beast, scale it down if you want to tame it without getting in trouble, that amp is a cop magnet, requires gargantuan speaker force transduction etc.
There's a tendancy to skip right over a make or break topic...the room, or hall, or theatre. the early reflective surfaces and distant RS's, their accoustic properties etc., is a make or break situation, how well does the system fit' in the room[s ["side-chambers"?, size, shape and surface composition matters, scaling down the system to what the room will accomodate is strongly recommended, 2watts is about right for nice sound, and loud without drums in a large living room.
...starting at the speaker end of the chain...
Cabinet: closed back, doesn't have to be a 4x12'' 1960, but the basice volume per cone area dimension is a little tight [small], this is the design to get or look at when mulling designs [the Marshall 4x12'' cabinets are built a certain way so as to have a bouncy projection, also called 'punchy'].
Speaker: This is one of those things I just can't see, same with the box and the guitar body, hard to tell what is actually in it. Greenbacks or similar I suppose, something with easy break over and punch-projection.
So now you have a cabinet with X# of speakers [choose for amplitude = application, too big is just too big to punch a certain way, turning down is what you don't want to have to do, cranking is what you'll need to do].
OT: I think Ed did real good here, better or best is a great place to start, second best tends to sit in the closet too much.
PT: Same here, very smooth power supply that is 'crunched' is, I believe part of the distortion/tone of the sound you're looking for, cheap probably won't cut it.
Now you get to the 'amp'...18watt comes to mind, mind that it is Loud through effecient speakers, say 1:2 as far as amp watts/speaker watts.
You'll have to pick tubes etc., I like 'better' [premium] tubes, Blackplates or 'best NOS' I reserve opinion on.
Then some dirtbox..more on that later.
Pickups...Dimarzio Super Distortion pickup, bridge [just a hot, well rounded suggestion I know well], something hot @@R@ate.
I also like maple necks that are skinney between the frets and back for the brightness and ability to use finger mechanics [pulloffs/hammerons].
Now, last but not least, Distortion. Distortion + is a fine platform to discuss, if it's not grinding fast enough, boost what goes into it, then use the topology, choose where to select values, add switches/extra knobs etc.
Choose the distortion circuit, modify it.
I used to build 2, and 'race' them. Setting one up with say BTB symmetric diodes and treble / gain [and pre-booster] settings, the other with...something else, then A/B test.
Boil and filter the distortion box down to where it's a 2 knobber again, perhaps an added switch.
I'm using PAF pickups and a pre-Dist+ booster. Phase 90...they say script logo, but researching the circuit pretty much allows anything from the MXR-VH-90 through script and block logo 90's.
Reverb for sure, compression/eq?
PA or stereo, but mostly automotive speakers is what I'm hearing when I'm hearing VH.
Mic, board, processing, bigamps>PA speakers thing certainly helps add dimensions to the guitar sound mix, a whole different sound than guitar-effects-amp, sounds like all that's in there too.