Best speakers for max. $3000?

If you like the Thiels then go with them as there isnt a lot out there that sounds similar .  Listen for midrange/ treble hardness as Thiels not sourced just right can be fatiguing. also they are not kind to soso recordings and compression and classic rock is generally  not recorded well.
Totem speakers sound a little like Thiel for extension but are more colorful and forgiving.  The Forest or Mani 2 might work here. Hawks are some of the best jazz speakers around but a little small for rock
If the above is just too bright check out some Vienna acoustics  baby  Beethoven  grand  or larger. They are fantastic on classic rock and are very forgiving of recordings .
All the above need power but your amp should work well

Studio Electric M4

... New: abit off the grid: Vapor Audio Stiff Breeze; vintage: floor standing Gershman Avant Garde RX-20 early 2000s, Usher BE218

Again: sorry for this most recent Senior moment: should be Usher BE718

I know I’m a bit late to the conversation here but I bought a pair of Goldenear Triton 5’s brand new for $2,000.00. Now, these obviously are not the bigger models with the additional Speakers and powered Subs.. however! They sound really really nice. I added two JL Audio Dominion D108 Subs just because I tend to like much more Bass than some folks might. Whether I’m playing Miles Davis Kind of Blue, Black Sabbath, or A Live Grateful Dead Show, they consistently sound nice to me. 

I use a Parasound Halo A21 Amp and P5 Pre-Amp. Bottom of the Barrel to many, but for my budget and ears, it’s a good Speaker for a fraction of most others.