  We postulate the existence of a family of dual resonant, four-point tachyon
amplitudes derived using invertible coproduct maps called Drinfel'd twists. A
sub-family of these amplitudes exhibits well-defined ultraviolet behaviour,
namely in the fixed angle high-energy and Regge scattering regimes. This
discovery emerges from a systematic study of the set of observables that can be
constructed out of $q$-deformed worldsheet CFTs with the underlying conformal
group being the quantum group $SU(1,1)_q$. We conclude our analysis by
discussing the possibility (or the lack thereof) of known $q$-deformations of
the Veneziano amplitude as an observable in such theories, in particular, the
Coon amplitude.
