Are there any poems describing rain in the 24 solar terms?

Yes, here is a poem about twenty-four rainy days:

Four wonders of rainy season

Liu Song Chenweng

The wind in the suburbs chased the residual snow, and the stream in the depression brought ice.

The urchin pointed to the goose in the cloud. When did the mountain flowers bloom here?

About the author:

Liu Chenweng (1233.2.4—1297.2.12), whose real name is Meng Hui, was nicknamed Xu Xi. Luling Kansai (now Xiaoguan Village, Meitang Township, Ji 'an County, Ji 'an City, Jiangxi Province). Famous patriotic poet in the late Southern Song Dynasty.

Liu Chenweng lost his father when he was young, and his family was poor in machinery. Li Sannian (1262) rose to the top, but was rejected by the court and was named "loyal and honest". After Song died, he wrote in seclusion until he died. He devoted his life to literary creation and criticism, and his poetic style was deeply influenced by Su Dongpo and Xin Qiji. He is bold and open, but not frivolous, forming his unique spirit of emptiness and sparseness.

The poet had an eventful life and his official career was not smooth, but he was full of patriotic enthusiasm and paid for the pain of losing his country. He often felt lost after the war. The specific writing time of this poem has not been verified, but we know that on this day, the heart of this tragic poet is rarely touched by the spring breeze, and the poet's tired eyes are also immersed in spring.