As a flyback transformer you want a gapped core, since you need to store energy in the inductance (gapped cores store loads more energy). Without the gap you'll use an unnecessarily bulky part.
Normal transformers work by transfering energy immediately and directly between primary and secondary, not storing it (to a first approximation), inductors work by storing energy in a magnetic field, and are able to give it back later. A flyback transformer is a hybrid of the two.
[ paradoxically the energy stored in the magnetic field is mainly inside the air-gap, not the core - the core serves to concentrate the energy into the gap. ]
If you want a small size Nixie power supply to build yourself, I have used a circuit similar to this for powering 6 IN-12 tubes in direct drive (not multiplexed) mode.
Do a Google search for "Nixie Power Supply 555" and lots will appear.
The only issue I had was with the layout. Keep the feedback circuit well away from the inductor.
I've not got a problem finding/building a 180V PSU, I have already built my own voltage multiplier boost. I just want to experiment with a flyback converter, to build on my psu knowledge. Thanks tho