NORDO IFR is quite a leap. If you open your horizons a bit, there are some alternatives to LSA. Have you looked into Touring Motor Gliders ? Gliders don't require Medical Certification. Unlike LSA, they operate in "A" airspace all the time. You can fly it at night. Not much of a leap to get a Glider add-on with a Self Launch endorsement. There are instrument ratings for only airplanes and helicopters, so an airplane IFR rating is used in gliders. I saw a You Tube vid a while back of a X-country IFR flight in a motor glider. Solid IMC. Vid seems not to be still available.
Some of the many touring motor gliders: Lambada, Ximingo, Europa, Stemme, Grob, Etc. Diamond built a couple of M.G.s. The Diamond Dimona has a GW around 1,700 lbs. Pipistrel offers the Sinus & Virus as factory or kit built. Nose or tail wheel. The Virus Short wing cruises at 147 Kts for around 1,000 miles.
Barnstormers had a listing for a kit built Sonex Xenos that was IFR and could do coupled approaches. It was loaded and sold for about 50 or 60 K. Neat bird. 120 mph cruise and acro capable solo and w/ the removable wing tips stowed. (It has a span of 39 ft tips off so it can fit through a hangar door.)