but the bore of the bush would probably need honing to size, a hone is something I dont own.

Why ? What is wrong with finish boring a bush to sixe ?

Reaming is probably easier to get a bore to a known tolerance with a decent finish (and £20-ish for a suitable reamer isn't that expensive in the greater scheme of things engineering) , but a stiff boring bar with a sharp tool should not have too much of an issue getting size & finish in a bronze bush - just sneak up on it.

Nigel B.