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I would check out Tomley RC on YouTube. He reviews a lot of Ready To Run cars and is a rally fan... I am pretty sure there'll be something reviewed on his channel that fits the bill.
If it doesn't need to be a rally car, have a look at the 1/10th HPI Maverick RTRs, or the 1/16th Traxxas RTRs.
https://www.modelsport.co.uk/product/1332660
On the face of it, these look relatively high performance, but mum or dad can turn the throttle down on the transmitter.
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Tomley reviewed this lancia delta and really liked it:
Theres a kind of pickup version of the same that's pretty cool looking.
Edit: just saw 5 year old - maybe one for dad instead ;)
The boychild has asked for an RC rally car for his 5th birthday. Anything ready made out there that is fun to drive, rugged and age appropriate?