most Brooks saddles will accept an M8x60 caphead set screw, with a machined head.
The required machining is a simple step in the head. This can (if you don't have access to a lathe) be done using simple tools such as an electric drill and an angle grinder.
You can thusly convert the adjustment system to use an allen key through the nose; the nut can either be held with a 13mm spanner, or machined so that it is a ram-jam fit into the (modified) shackle.
I gave up on Brooks nose bolts years ago. The stainless ones last longer.
BTW there are shoulders on the shackle and it is vital that the nosepiece rests on these, else the weight is supported by the bolt directly (bad). If the nosepiece is flared so that it does not sit on the shoulders any more the bolt will break. Even with the correct setup there is a bending stress on the bolt, which will (given time) start a crack in the underside of the bolt, where the first exposed thread is, typically.
If you adjust the saddle fairly regularly, maybe the fatigue damage at any one point in the bolt isn't enough to start a crack....?
cheers