The engine spec...
Material: Copper
.Model: LS3-13S
.Size: base 48mm wide, 111mm long, 95mm high + 6mm thick sleepers
.Cylinder diameter: 14.0mm
.Stroke: 12.0mm
.Spindle diameter: 5.0mm
.Spindle center ground height: 17.0mm
.Operating pressure: 0.05Mpa-0.8mpa
.Recommended air pressure: 0.2Mpa-0.6mpa
.Inlet interface thread: M6-0.5 1/4-40
.Product Dimensions: 11.1 x 4.8 x 10.1cm
.Product Weight: 930g
.Package Dimensions: 21 x 16 x 16cm
.Package Weight: 1200g
But this does not state "max. speed" - I guess should be kept below 1000rpm because of the valve gear? I guess the prop will be only ~1 1/2" diameter...?? so ~1000rpm should be a max. workable design speed? Maybe you should ask the engine makers what they suggest for max speed?
As silver-soldered copper boilers are limited to 100psi (ASME Regulations, (Law in USA and many similar regulated countries), the steam demand for this engine at 100psi is something like 676 cu.in steam per minute: @ 100psi = 2.84 cu.in (~47cc, 47gm.) - or 0.104lbs. of water to be heated boiled and heated to 100psi per min.
I.E. 0.104 x 60 x 1243 BTU/Hr is required in "Heat" to supply the engine (max.) = 7730BTU/Hr = 2.3kW.
Assuming the boiler to be 60% efficient, you need a 3.8~4kW gas burner.... so the gas canister will need some heat to avoid the pressure drop from vapourising the gas (Waste heat from exhaust steam?). I should design for a 5kW gas burner as the superheater will also need some heat. (Necessary to avoid too much inefficiency from "wet" steam that must be pumped through the engine!).
The boiler will need (typically) just a tad more than 1/2lb of coal per hour if coal fired.... but "very small stokers" are hard to find, which is why we mostly use gas burners! So look at a gas burner catalogue to see what burner is needed for 5kW - to give you some idea...? e.g. the Sievert 25mm cyclone burner, or 28mm standard burner will do. with propane...
View attachment 129452
The boiler should have at least 110 sq. in of heating surface, to be able to transfer the heat from the burnt gas into the water in the boiler. For the simplest Cornish Marine boiler, with JUST a fire-tube, the tube will need to be 2" diameter x 9" long, or thereabouts. So a more complex boiler will be more compact?
Hope these ideas give you some clues. But please do some calculations yourself and let us know so we can give more direst advice?
Cheers,
K2