Northern Dynasty Minerals Ltd (NAK)

[Zilidium]

Yes there are other routes, but not many:
through Lake Clark pass is plausible...very unlikely because its park land.
Across lake Illiamna, this would be a very expensive option with a ton more hurdles to jump over and more locals to appease. Unless its done in the winter, then the ore could be driven out. This could work 3 to 4 months out of the year during years it gets cold enough for the lake to freeze.
A southern route around Lake Illiamna also wouldn't pencil out considering all the locals to appease, world class trout streams to cross, besides the road would be over 200 miles long. (Its a big-ass lake).

Don't forget flying out the ore, there is a sufficient airport within walking distance but again, the expense wouldn't pencil out.

there are certainly many route options

but much more difficult to achieve.
https://www.alaskapublic.org/2021/06/08/pedro-bay-shareholders-accept-19m-deal-that-would-thwart-efforts-to-mine-pebble-deposit/

The fat lady is warning up...