Cartridge Recommendations for SME V Arm

I have a VPI TNT Jr. turntable with an SME V arm. My current cartridge is an older Sumiko SHO feeding an Audio Research PH3 phono preamp in turn into a BAT VK5i preamp and Revel Gem or Revel F208 speakers driven by a BAT VK 6200 6 channel amp. I'd like to upgrade my cartridge and would like to keep the cost below no more than around $3000. I am intrigued by the Hana line and the cheaper Lyra's, Dynavectors , Ortofons, etc. but not really sure where to start. I primarily listen to symphonic classical, 60's and 70's rock, sound tracks and some jazz. Lots to unpack there. Any suggestions to where I should start? Thanks for your thoughts!