I think I'd modify lump size according to whether the fire is wide but shallow, or narrower but deep, because a miniature loco's fire is thin compared to the coal nuggets even with a deep box. So though you don't want the fuel clogging the air-flow, neither do you want holes in the fire. That half-door size seems a good general guide though.
The fire-bed should not reach the tubes. In most designs I've looked at the lowest tubes are no lower than the door sill.
How much the coal coalesces is a matter of its quality, but I have seen some bituminous coals cake into masses needing frequent breaking up.
I reckon with miniature engines that the Fireman is more skilled than the Driver!
'
Incidentally, though the fire does not scale very well, the BR handbooks recommended coal about the size of a man's fist, for full-size locos, and not excessively thick fires; apparently irrespective of firebox proportions;. It seemed it was left to the firemen to control the individual boiler by its performance and his experience, based on that guide. (A little booklet just about firing, as well the full Handbook). Their big headache though was clinker, not coal lumps, blocking the air-flow. The graded embankment of a former railway line near my home is covered in the stuff!