  We investigate how much can be learnt about four types of primordial
non-Gaussianity (PNG) from small-scale measurements of the halo field. Using
the QUIJOTE-PNG simulations, we quantify the information content accessible
with measurements of the halo power spectrum monopole and quadrupole, the
matter power spectrum, the halo-matter cross spectrum and the halo bispectrum
monopole. This analysis is the first to include small, non-linear scales, up to
$k_\mathrm{max}=0.5 \mathrm{h/Mpc}$, and to explore whether these scales can
break degeneracies with cosmological and nuisance parameters making use of
thousands of N-body simulations. We perform all the halo measurements in
redshift space with a single sample comprised of all halos with mass $>3.2
\times 10^{13}~h^{-1}M_\odot$. For local PNG, measurements of the scale
dependent bias effect from the power spectrum using sample variance
cancellation provide significantly tighter constraints than measurements of the
halo bispectrum. In this case measurements of the small scales add minimal
additional constraining power. In contrast, the information on equilateral and
orthogonal PNG is primarily accessible through the bispectrum. For these
shapes, small scale measurements increase the constraining power of the halo
bispectrum by up to $\times4$, though the addition of scales beyond $k\approx
0.3 \mathrm{h/Mpc}$ improves constraints largely through reducing degeneracies
between PNG and the other parameters. These degeneracies are even more
powerfully mitigated through combining power spectrum and bispectrum
measurements. However even with combined measurements and small scale
information, equilateral non-Gaussianity remains highly degenerate with
$\sigma_8$ and our bias model.
