"As for using the adapters, Doug is right on. You will hear the degradation even if you use Rat Shack lamp cord."
Agree, but the question IMO is not only whether there will be some loss of fidelity now, but how the OP can best get to his next levels of performance. The OP is adding an analog source that retails for >$5000 and has not yet decided what amplification upgrades to consider, if any.
As good as the NAD is for $200 gear, I would bet good money that he will very soon be in the market for a comparable phono pre-amp, etc. Since he hasn't ruled out balanced amplification as an option, why perform a modification that you may want reversed in the near future?
Having owned the NAD amplifiers, and also having used XLR-RCA adapters with Ayre and Jeff Rowland amps from time to time (JRDG actually supplies them), I can assert that the adapters may not be the weakest link and are worth a try, even if you just borrow a pair.