As above, more volts helps maintain torque at speed (to maintain current against the back EMF generated by the running motor). I don’t believe it will do much for starting torque.
That’s already quite a powerful motor for the NEMA23 form factor, so it may be that the torque required is too great, and you will need to add reduction gearing (2 or 3:1 timing belt).
However…
You say you’re using a ‘TBA6600’ driver – is it one of the generic ones that are all over Amazon, Ebay & Aliexpress?
If it offers 32:1 microstepping, it hasn’t got a TBA6600 chip inside – likely a TB67S109AFTG instead which, despite what the printing on the case says, is limited to 3 amps output.
If so, you could get a 40% increase in torque by running a drive that allowed you to run the motor at its rated 4.2 amps.
A fairly cheap drive (that uses the TBA6600 chip) is sold as the ‘DIV268N’ – billed as a 5A drive.
I bought a couple from ‘Maker’s Hut‘ and they seem OK, but they’re old fashioned and crude compared to more expensive drives.