  The multiwavelength properties of radio-emitting tidal disruption events
(TDEs) are poorly understood. In a previous paper, we presented the first
sample of radio-selected, optically-detected TDEs, which included two events
(VT J1008 and VT J2012) associated with late-time (${\sim}2$ years post-optical
flare) intermediate with emission lines that are largely unprecedented from
TDEs. In this paper, we investigate these two events in detail. The
multiwavelength properties of these events are otherwise consistent with
optically-selected TDEs. They are hosted by green valley, E+A/Balmer dominated
galaxies with low star formation rates and black holes masses $M_{\rm
BH}\approx 10^{5-6}\,M_\odot$. The optical flare shapes are fully consistent
with those of optically-selected TDEs, although they are slightly faint and
cool at peak. The radio emission from both events is consistent with
wide-angle, non-relativistic outflows with $L_R({\rm GHz}) \sim 10^{38}$ erg
s$^{-1}$. Balmer and Helium emission lines are detected from both events with
full-width-half-maxima ${\sim}700$ km s$^{-1}$ and asymmetric line profiles. VT
J1008 additionally shows coronal line emission with a similar width. The lines
from VT J2012 are redshifted by ${\sim}700$ km s$^{-1}$ relative to the host
galaxy. We show that these events share many characteristics in common with the
ambiguous class of extreme coronal line emitters. We argue that the lines are
likely associated with a radiative shock or dense, photoionized clumps of
outflowing gas in the circumnuclear medium.
