If it were me I'd go for the stock 10swg tube – but bearing in mind that if the 3.75" is bore not OD, its extra diameter (from 0.036" extra wall thickness) could affect many other dimensions, especially on a traction-engine.
I don't know the Allchin in detail, but a slightly larger boiler barrel might need a wider firebox hence moving the hornplates and the various journals they support, outwards with possible repercussions on the shafts. It will also increase the radius of the cylinder saddle, and alter the motion centre-line height. Not to mention altering the plate-work a little.
Would it affect the scale appearance? Possibly not: scaling up that extra thickness changes the equivalent full-size width by only half an inch or so.
Even so it will far easier and arguably stronger than trying to roll the shell to the exact diameter, then joining it.
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If you fabricate it from plate, the nearest alternatives to 13SWG (~ 2.4mm) thickness differ from it by 0.012" .
Of them, 14swg (=2mm) might still be strong enough for the pressure, but only for the pressure. It would be weaker structurally, on a boiler that is also the vehicle chassis, so needing plenty of strength.
Besides, being anything thinner might frighten the Club Boiler Admirer away.
Or 12swg (nearest 2.5mm), might be accommodated quite easily with only minor changes elsewhere, and be a trifle stronger.
(A CBA unhappy about thicker boiler walls than on the drawing, is best swapping roles with the Club Head Gardener.)