💡 Detailed Explanation
「〜てやまない」 is used to express that one cannot stop having a certain feeling or doing a certain action, often used with verbs like 願う (to wish), 祈る (to pray), 期待する (to expect). It conveys a strong, continuous feeling from the bottom of one's heart. The other options are N1 grammar points but do not fit the nuance: 「〜ずにはいられない」 expresses an uncontrollable compulsion to wish; 「〜てはばからない」 expresses a bold, unreserved wish; 「〜てならない」 expresses a strong, uncontrollable feeling or sensation of wishing, but it often implies an overwhelming, involuntary experience rather than the profound, unwavering, heartfelt, and continuous desire that 「てやまない」 conveys for profound wishes like peace.