Was 'offer' in "(...) that no way of reaching that place would offer, till (...)" used as an intransitive verb?

Would offer is an unusual construction in this context.

It's not really possible to tell if it's being used as a transitive or intransitive verb, because it depends on how you interpret its meaning.

Transitive Interpretation

No way of reaching that place ^(object) would be offered ^{(transitive verb)} [by someone] ^{(missing subject).}

In short, if would offer is the same as would be offered, then the phrase is a passive construction with the object coming before the transitive verb.

Intransitive Interpretation

No way of reaching that place ^(subject) would appear ^{(intransitive verb).}

In this case, what was the object of the clause in the transitive interpretation becomes the subject of the clause in the intransitive interpretation.

So, because of the odd use of would offer, its transitivity or intransitivity is ambiguous.