Another viewpoint on this...
Great story and even better ending! Great job staying calm and focused!..... I shut the engine down on my 7 a few weeks ago for the first time over a 10,000' runway airport (no one in the vicinity) and glided for 2 minutes to test my best glide speed! It took me 2 years to work up the nerve to do this but I'm glad I did. I wanted to know what it feels like. Actually it was no different than Idle and the rate of decent was very close to idle. I did not stop the prop. The engine fired right back up when I shoved the mixture in. I still had 4,000' so there was no pressure.
I have been thinking about this post a bit today, and (because the internet and what's put out there lasts forever) I would like to post an alternative viewpoint to this kind of flight testing.
Generally, I'm against shutting down an engine for "test" reasons if not needed, especially if it's the only one installed on the aircraft. For whatever reason, if you do so and it fails to restart, you've just turned your "simulated" emergency into the real deal...and you did it to yourself, to boot.
An old flying buddy tells me when ideas like this occur to me to think "How will what I did sound, from the FAA investigation backwards."
While it might appear that the risks might be low due to proximity to the airport, runway length, etc., it's the unplanned, can't happen "stuff" that somehow occurs that can suddenly take you someplace you never thought you'd end up. If the engine doesn't restart, stress levels will go up (a lot) and the calm, logical computing device your brain was up till this point will likely go into abacus mode and probably be somewhere in airspace 5 disbelieving minutes behind your current location.
And for what? A datapoint, that, all things being equal was probably already possessed (either from this website or flight test at idle) and was close enough to being "real life" useful to negate any gain vs the risk taken.
If really wanting to fly and learn what it's like to land without a motor is what's desired, my suggestion is that the safest avenue would be to reach out to a glider club with an older, early generation glider like a SGS 2-33 or something similar.
Schedule several flights with their biggest, fattest instructor and put as much ballast weight in as the gross weight allows. Go out on a hot day, take a 3000' (or more) tow over the airport, release, and fully deploy the spoilers and leave them out till landing (or until the IP says otherwise.) Spiral down, set up your high and low key and see how well you do spotting the landing. Safe, great fun, and you help the local glider club stay solvent.
While I'm not sure the 2-33 will quite have matching glide performance as an engine-out RV, I'm betting it will be a reasonable enough simulation (the 2-33 is a pretty doggy glider) to be close. The head game you'll play trading off altitude, pattern location and landing spot will keep your Mark I/Mod 0 CPU plenty busy enough not to notice the difference is what I'll bet. Do it 2 or 3 times in a day, and you'll be done and ready for a beer.
It will boost your confidence in your being able to plan and execute a successful off-field landing if it became necessary, and at much less risk to yourself, the aircraft you've worked so hard to complete and the family that wants you to come home after playing with your pride and joy.
Off my soapbox.