Nice circuit! I really like it and I will certainly save it for the future!
I was planning on using high voltage opto-couplers like MOC8204 or HSR412 instead of the white LEDs you are using to drive a Nixie.
With the original circuit in the datasheet they usually only use the outputs for output to the next stage, sometimes with wire-or for more complex output signals, for driving Nixies they hook up more transistors as buffers or cold cathode trigger tubes to drive the Nixies.
If you want to divide by anything else than 10 your circuit will have to make sure that it sets (or resets) the flip-flop to the correct position just before the reset pulse is applied to cathode 0, otherwise the cathode will not light up and stay lit since the flip-flop transistor for the even cathodes is not conducting and no current will flow through the "even" transistor to ground keeping the 0 cathode lit. The same kind of situation applies to the Burroughs Beam Switching tubes if you want them to count to anything except 10 (or to a number that is not possible to apply by joining the correct spade or target electrodes) as the flip-flop driving the odd and even electrodes will be in the wrong position for the beam to form. If you want to set the A-108 to any other number you will likewise have to make sure that the flip-flop is set to the odd or even state that matches the cathode that you are setting it too.
When I experimented with them I made a flip-flop of low voltage transistors and used KSP44's as buffers and I also added the set/reset logic via a rotary switch with two wafers, one for set/reset to the flip-flop and one for selecting what cathode I wanted to set, with a delay circuit to make sure that the flip flop had changed state before the set pulse was applied, this was the easiest way I could think of then without involving a lot of more transistors. I was building a small clock without any IC's so I wanted to keep it small and simple but I really wanted to use the set capability of the Dekatron and not just use a pulse to count up to the correct number. I also experimented with blanking either the Nixie or the Dekatron just as the set procedure was performed as the Dekatron will count one step forward as the flip-flop is changed (if it is changed) and that did not look that nice I think, the dekatron will count one step forward if the flip-flop changes states just before the set pulse is applied to the cathode if you go from an odd number to an even number or vice versa.
I think that these small Dekatrons are the most beautiful design, and as you say simplistic, that I have ever seen. They are very forgiving when it comes to voltages and as you have shown here they are quite easy to hook up and get to work properly. The A-107 and A-109 are equally easy to get to run, but as soon as you want to use any of them at higher frequencies you will have to be careful when designing the circuit properly, just as with any other high speed dekatron.
/Martin