What brand of bullets are you using that are BHN 22? I presume these are some commercial cast bullet?
You can't find, among others, the 180 Speer, the 200 Sierra RN, the 200 Hornady RN, the 200 Remington Core-Lokt, or the 200 grain Hornady FTX? I would think one of these would be available, and even a very modest amount of searching will net you several sources for these bullets. I'm having a hard time believing absolutely nothing can be had, and that you're forced to use a second rate bullet.
A quick search reveals the following:
35 Caliber (.358-.359) | Rifle Bullets | Bullets | Brass & Bullets | Reloading Supplies |
Problem solved!
Hard bullets will respond with some fracturing of the nose of the bullet at high impact velocities, whether cast of linotype or any high antimony lead alloy, or even of heat treated wheelweights, which are considered to be more desirable. At more modest, 45-70 type velocities, the heat treated lower antimony bullet (wheelweight) will penetrate without fracturing and will only widen any flat meplat that is present.
At 44 magnum revolver velocities, both linotype and heat treated wheelweights will penetrate the target with only modest to no deformation and pretty much no fracturing whatsoever. So how well a cast bullet responds to impact depends upon what it's made of and how ductile it is and how fast it's going.
A 35 Remington rifle at standard velocities makes a good deer gun when using a bullet cast of simple, air cooled wheelweights. These are BHN 12, or thereabout, and this expands just fine at close to moderate ranges.