If you are looking for near the most accurate and uncolored sound possible, your current CD player into a Qutest or Benchmark DAC would be a significant step up from where you are now. Heck running the Time Lens with the dither off into a $150 Topping E30 would be a big step up in performance from what you have now.
If you love the sound of vinyl no matter the genre or performance, then there are probably better options out there that will more closely replicate that vinyl sound.
If you are looking for where to spend money, it is almost always acoustics. Another area in your case, though, is the crossovers in those speakers. Belle's are from the early 70's. If those crossovers have not been updated / upgraded, then they are well past their time. The electrolytic capacitors specs would have changed considerably over that time to the point where the crossover points could have moved quite a bit.