Another Lever Action thread question. Wanted to avoid thread drift

[ZQLewis]

Though I would start this as a new thread rather than engage in further drift.

My son is going to have to hand back his Ruger he got last last year and is looking to replace it with a lever.
Used for Plinking, with mates in Forestry and private access land. (Not used for hunting)

Ammo needs to be cheap and available. (he does not reload yet. May have to buy him some Trail boss and a basic kit)
Low intensity so he dose not have to stop after 5 rounds to let it cool down (ie my Sav 99 gets real hot after 5 shots)
Possibly some Cowboy action shooting at the Hamilton Pistol club he has been visiting if he decides to join.
Short Carbine length. 16" ??
Able to take scope or his existing red dot.
He like's the Brass look of the Henry and likes the Octagonal Barrel but neither is necessary.
S/S would be good. (my suggestion to him)
Wood Stock not Plastic.
Budget subject to buy back scheme but up to $2k

My question is which Lever Action and which Caliber and Why?.
He dose not want a BAR. Probably can't get a Sav 99 in a Low intensity Cartridge short of buying a 30/30 and re-barreling to sav 38-55 or .375win)
We're familure with the Savage and BAR good and bad points.

So what about Winchester 94 Can you even get them.
Henry Brass Big Boy
Marlin 336
Marlin 1895
Mossberg 464
Rossi Puma
Chippa 1892 in say 44/40

45/70 to expensive to run as is the 44 mag.
45 Colt
357 gives option of using 38 as well
30/30 $1.57-$175 shot.
Any Levers actions in 223, 7.62x39, 9x19 ??

Lots of ideas so how about some thoughts more so on which Rifle