a search party went into the cave hoping to find buried treasure. 里面hoping 是非谓语,这个我明白

问题描述:

a search party went into the cave hoping to find buried treasure. 里面hoping 是非谓语,这个我明白
但我想问,如果是went into the cave to hope to find buried treasure.可以吗,我记得to也可以表目的,请详解

hoping 的分词短语是went的伴随状语,进的目的不是“希望”,所以不用to hope.