WARNING: In this post I talk about working on HIGH POWER electrical circuits. DO NOT DO THIS UNLESS YOU HAVE BEEN TRAINED... PERIOD! The capacitor in the final photo is quite easily capable of KILLING YOU if you discharge it through yourself. The amp uses TWO of those in its power supply.
As a hobby, I pick up distressed amplifiers, receivers, and other audio equipment and attempt to bring them back to life. This has netted me some spectacularly great pieces for pennies on the dollar, to outright free.
This photo is a receiver I picked up locally for free. Both main channels were "out". It wasn't the internal amplifier that was the problem though, rather the input board had some dry solder joints. About 3 hours of soldering netted me a perfectly working receiver, which has been in my living room for the past two years working perfectly. If you want photos of when I took it apart, just let me know.

Below is an 8 channel McIntosh MC7108 that I bought off of eBay listed "for parts". While what I paid for it probably doesn't fit the definition for "budget", it was less than a quarter what the amp is worth... So maybe budgetish? It's works great, but I ended up not really fixing it. It actually worked for about a week after I bought it. I thought I had really scored, until it started up with a horrendous buzzing noise that came from inside the cabinet. The protection circuits also kicked in and the amplifier would not power up. Some investigation, again photos are available if you want to see them, revealed that buzzing came from a bad capacitor and relay in the on/off switch circuit. As I didn't care about the on/off switch, I simply bypassed it. Now, if the amp is plugged in, it turns on. I control it using a Zwave outlet (look at the power outlet and you'll see it) and that is what I use to turn on and off the entire stack you see.
Below the McIntosh is a Carver TFM-15B that needed the input pots cleaned and new meter lights. It's not a well built amp, but I've always loved Bob Carver's work and it sounds very warm. Bob was known for is ability to copy the sound of much more expensive amplifiers in his design, which he called "Transfer Function." In the case of the TFM-15B is copies the sound of a Classe amp, although I don't remember which one.
Below that is my wife's old Soundcraftsman amplifier that I put new power supply capacitors in. The caps in that thing are the size of coke cans.. Don't believe me? See the last photo...
At the very bottom is an old HTPC I built many years ago. It is retired as an HTPC and is currently serving as a low power server for my house.

Big honking Capacitor:

We have very different music tastes unfortunately. However, I will try to be some help.
Have you heard our lord and god... Rush?
Especially their older albums such as; 2112, Farewell to Kings and Hemispheres. They are solidly Progressive Rock and not Trance.
After Hemispheres comes "Moving Pictures" which is probably their seminal album as it marks a departure from the format of the previous albums. They become a bit more conventional in the structure of their albums after that period.
I have to admit, I am someone that gets stuck listening to the same songs over and over as well. My music server is well north of a terabyte in music and I find myself listening to the same thing over and over again. I wonder if I'm wearing a hole in the hard drives sometimes.
So I can empathize with you.
Perhaps, I'll give the artists you mention a real listen and try to expand my horizons. Sometimes it just takes a single song that is pretty awesome to make that happen.