Possibly fabricate a stopper for the body of the uni throater and use calipers for measuring small cuts at a time. My method for determining distance to rifle lands is a good one that I have come up with years of reloading the steps are as follows.
1. Using new brass or resized brass apply dry graphite based lube (redding dry lube with ceramic applicator beads) to the inside of the neck.
2. Seat bullet so that it completely expands the neck of the cartridge from top to bottom.
3. Use a kinetic bullet puller and completely remove seated bullet.
4. Reapply dry lube
5. Insert bullet into this cartridge.
6. This cartridge will have just enough neck tension to soft seat the bullet.
7. Insert round into chamber and close bolt.
8. Extract round and measure using bullet comparator.
9. Use steel wool and lightly polish the copper jacket to remove shiny spots that reveal lands of barrel. (verify you are in the lands)
10. Repeat this process 3 times and if they all measure within a couple thousandths, you have found your throat distance.
11. Generally I have fount that this method leaves the bullet 10-15 thousandths into the lands.
12. You can verify exact distance by using bullet seater and steel wool seating the bullet after cleaning a couple thousandths at a time till the shiny spots disappear from the copper jacket.
Hope this helps, I use this method every time I open a new box of bullets to verify seating depth. I usually load rounds 10-15 thousandths into the lands due to the fact that I shoot vld style bullets mostly.