The main part of the problem is the structure elucidation of the unknown, for which standard methods can be used; you then simply look to see which carbon resonance has a CD coupling instead of a CH. No need for C-D correlation, though that can be done fairly straightforwardly, see e.g. Peter Rinaldi's work. The lock coil on a standard probe can be used for 2H pulses, but caveat lector - the RF power must be kept low to avoid damage. We routinely use RF powers of a few watts on Varian probes with no ill effects, as do Varian.

hsqc and hdqc experiments can be used to correlate 2H w/ 13C as discussed in: j. chem. phys. 2008 vol.128 p184501