During this Period the Philippines was first under the Insular Government of the Philippine Island a territorial government of the USA 1901-1935. The Insular Government was granted the following Arms showing Armerican symbolism and the Arms of the Capital of the Philippines Manilla.
https://upload.wikimedia.org/wikipedia/commons/thumb/7/76/Coat_of_Arms_Philippine_Islands_(1905–1936).svg/300px-Coat_of_Arms_Philippine_Islands_(1905–1936).svg.png
In 1935 the Insular Government was replaced with the Commonwealth of the Philippines and the Arms was altered somewhat to reflect the new Status. These Arms was used until full Independence in 1946, well in exile during the Japanese Occupation 1942-1945.
The Department of Mindanao and Sulu, was granted the following Arms:
https://upload.wikimedia.org/wikipedia/commons/thumb/1/16/Coa_Mindsulu.png/300px-Coa_Mindsulu.png
I’am not sure if any other Subdivision of the Philippines at that time was granted Arms.