Well done Andy, perseverance pays off.
They really are intolerant of a less-than-perfect power supply. I've found powering the 3v3 regulator on the transmit module directly from the switched battery is a good start, and everything has the 100µF + 100n mounted on the 3v3 pins. Reading back on some quite old NRF projects on the web, I see the need for extra decoupling caps was established back then, I should have read up first and saved some time!
Next I want to try replacing the RF-Nano receiver PCB aerial with a dipole, and range testing. The range as standard is plenty, but the larger profile of a dipole might be better where the receiver is occasionally shadowed by a battery or motor. Also I want to try one of the "+PA+LNA" transmit modules as a receiver, just for a comparison. I might attempt a receiver with two NRF boards for diversity. Maybe...
I made a couple more 8mhz/3v3 Promini+NRF receivers yesterday as I'd run out of RF-Nanos, not sure which I prefer - the made-up ones are free cos Tobe sent kindly donated some NRFs and Prominis!
Yesterday I converted both mine & Roo's model car 'pistol' radios from the hybrid semi-hopping setup to the fhss code, and today as a test I collected all my working transmitters of various makes, FASST, Frsky, Flysky, Orange, Spektrum, NRF, etc, switched them all on and spread them around my shed, all 23 of them

then in this RF custard, played Scalextric with one of the model car pistol radios. Perfect throughout
Later, with the updated radios, we were playing with the model car, and the replacement brushed motor and ESC combo was a mistake - its s l o w. The last motor was a 16 triple which was fast but cruel to the ESC and burnt the fets twice, so I went for a 20t single - too extreme a change
I'm out of my depth with car motors, maybe an 18 double?
So far I've done the two pistol-grip car radios, the OS Cougar, MPX Pico, OS Pixie mk2, and the micro tx, plus a cardboard-box test tx, and a couple of uncased but working sets, one propo & one S/C. Nine NRF sets is enough
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OK heres a receiver made with the "+PA+LNA" module that so far we've been using for the transmitter.
I've removed the SMA connector and soldered two 33mm whiskers, which with the LNA I want to compare against the PCB aerial. Works great on the bench but no range tests tonight, its raining pissinstently

- SMA connector and headers removed...

- ...took some removing!

- Underside is the ground plane

- 3v3 8mhz promini

- Finished receiver... or so I thought...
...forgot the capacitors!
I've rearranged the layout of the boards since taking the photos above, with the NRF groundplane between the boards so they're screened from each other. Minimum-power range tests seem 'at least normal', possibly better, hard to tell in the rain! One of my test transmitters has the bare NRF24 (no PA) and its set to the 'low' power setting (-12dbm or 1/16th of a milliwatt) and with that tx I'm getting about 30 metres in the rain

In theory, at 100mW thats approaching a km, which is about what the spec claims. When it stops raining I'll do a proper full power range test. It might be interesting to also test a dipole on an RF-Nano... range hasnt been a a concern but I would like the tiny rx aerial to have a bit more 'presence'.
If you recall, the largest open space I could find to range-test the set was 700m and it was absolutely solid at that distance, with more space it would have gone much further. To put 700m in context, heres what it looks like at Ponty Park, note the size of the strip

- 700 metre radius of PANDAS strip
Cheers
Phil