  We present Tully-Fisher distances for 24 AGN host galaxies with black hole
mass ($M_\textrm{{BH}}$) measurements from reverberation mapping, as well as
the first calibration of the $V-$band Tully-Fisher relation. Combining our
measurements of HI 21cm emission with $HST$ and ground-based optical and
near-infrared images allows multiple distance measurements for 19 galaxies and
single measurements for the remaining 5. Separation of the nucleus from its
host galaxy via surface brightness decomposition yields galaxy-only
luminosities, thus allowing measurements of the distance moduli free of
contamination from the AGN. For 14 AGN hosts, these are the first reported
distances independent of redshift, and hence independent of peculiar
velocities. For the remaining galaxies, we show good agreement between our
distances and those previously reported from surface brightness fluctuations
(SBF) and Cepheids. We also determine the total galaxy mass enclosed within the
estimated HI radius, which when compared to the baryonic content allows for
constraints on the dark matter masses. We find a typical mass fraction of
$M_{\textrm{DM}}$/$M_{\textrm{DYN}}$ = 62\%, and find significant correlations
between $M_{\textrm{BH}}$ $-$ $M_{\textrm{DYN}}$ and $M_{\textrm{BH}}$ $-$
$M_{\textrm{DM}}$. Finally, we scale our galaxy radii based on estimated
relationships between visible and halo radii and assume a flat rotation curve
out to the halo radius to approximate $M_{\textrm{HALO}}$. Over the range of
$M_{\textrm{BH}}$ and $M_{\textrm{HALO}}$ in this sample, we find good
agreement with observationally-constrained relationships between
$M_{\textrm{BH}}$ and $M_{\textrm{HALO}}$ and with hydrodynamical simulations.
