I have done my thinking and devised a way to install radio control into the model: controller, batteries, power switch and charging socket.
- 400 mAh seems like a useful battery capacity to aim for.
- I am not bothered about using lithium batteries to save weight. In fact, heavier is better because it reduces the need for extra ballast.
- NiMh technology is easier to charge than LiPo, and there are fewer worries about bulging or worse.
- If I can keep and charge the batteries inside the model, I can have a fixed smokebox door. The detachable door on ‘Lady Marion’ has proved rather a fiddle for me to take off and put back.
Two compact LiPo batteries are possible, one inside each side tank. But I can probably shoehorn eight AAA batteries into the model - four inside the boiler and two inside each side tank. Unfortunately this leaves no reasonable place to put the power switch.

This location for the power switch seems really sensible . . . thank you
@simond. I would never have thought of this on my own.
I have found a source of two-thirds length AAA batteries with a capacity of 400 mAh. These will fit alongside a power switch below a side tank, so I have ordered some and worked up the model to suit. If these batteries don't work out, I have a get-out in that there will still be room for six full-size ones.

The model has gained a short tube to hold the power switch, and a flat bracket to hold the charging socket. The r/c controller will fit in beside the motor.

I might need a pen or a house key or similar to reach the switch, but I think this is as neat as I will ever manage. The idea is to secure the switch with epoxy glue after I paint the metalwork.
On the way here, I did try to shorten the dolly on a larger toggle switch. When I came to the end of the cut I discovered the dolly was hollow and contained a compression spring to hold the mechanism together. The switch was ruined.

I have also opened up the inner sides of the tanks to let me insert the switch and the batteries after assembly and painting. There is going to be enough room to manoeuvre the switch into place, but only just.
This probably completes all of the effort to make the model ready for radio control. I'm glad I left the assembly of the superstructure until now.