I can't comment on the liquid Nitrogen option, but the liquid CO2 option results in increased baseline noise at temperatures below 20C, and I suspect the liquid N2 would as well, as it's due to the pulsed nature of the cooling..
I found it was good to cool the instrument oven down quickly from about 70C, but the baseline noise increase was intolerable if used to control the oven for trace analysis of HCs using FID and a long fused silica capillary or PLOT column. Never tried it with a packed column, and TCD was less sensitive to noise.
I suspect it's sometimes better to go to a thicker film ( higher initial start temperature), and use the cooling just to bring the temperature before the run.
It's easy to use, and worth ensuring you have a good filter in the line because the orifice is quite small, and the coolants have habit of carrying fines into the orifice.
The trick with liquid CO2 is to ensure the main cylinder headspace is the hottest part of the system, it keeps the lines full of liquid. As cylinders are often stored elsewhere, it's worth ensuring they are warm. My solution was to pour a bucket of hot water over the cylinder every hour or two on cold days...
Please keep having fun,
Bruce Hamilton