Cartridges for Rega Tables


I have a Rega P10 (previous version) and am wondering if anyone makes a cartridge that is the exact same height top to stylus? Since Rega doesn’t offer adjustable VTA, I wondered if I could get a cartridge that doesn’t require shimming the tonearm. I know Rega offers a number of Cartridges, but I never have really cared for their sound signature. I am currently using a Lyra Kleos but thinking of making a change.

thank you
128x128theo
LOMC Dynavectors appear to be between 15.9 mm and 18.1 mm in height depending on the model.
Hana are 16mm to the tip of the stylus.  
Dynavector 17DX3 is 15.8mm and an excellent sounding cartridge.  
The Regas are 14 mm body height and I have no idea what they measure to the stylus tip but I imagine they would come in at + 1 or 2 mm more.
This gives me some ideas on what to try. I appreciate the help and suggestions.
@Theo Hi Theo...I was reading one of your older posts about VTA on the RP10 to help push me to make this adjustment on my RP10.  I recently got a SoundSmith cartridge to replace a Benz.  The SS does everything better as-is and I can appreciate a slight upward angle to the tonearm.  I purchased the acoustic signature set from Audio Advice and am excited to install these with a hopeful simple loosening of the 3 screws from above.  I was always afraid to completely remove the tonearm.  I don't know the dimensions of the SS cartridge and am out of town for work but went ahead and got the 0.5-3.5 set as the large set was out of stock.  Thanks for sharing your experience.
Dana