The correct answers are I had my favorite compass swallowed by a crocodile., I got my tent blown away during the monsoon., and I got myself trapped in a suspiciously obvious snare.

The structures have something done and get something done are often used as "experiencer passives" to describe adverse events outside the subject's control (e.g., had my compass swallowed, got my tent blown away).

You can also use a reflexive pronoun with a get-passive (get oneself done) to imply that the subject was partially responsible for their own misfortune (e.g., got myself trapped).

"Was gotten chased" is ungrammatical (double passive/auxiliary confusion), and "had my provisions to be raided" incorrectly uses an infinitive instead of a past participle.