Some time before the 18th of Av, 1943, The Lubavitcher Rebbe wrote a letter to R' Moshe Dov Ber Rivkin, Rosh Yeshiva at Yeshiva Mesivta Torah Vodaath.
That letter is translated into English in a book called "Led By G-d's Hand".
In the letter, the Lubavitcher Rebbe outlines "An overview of the different conceptions advanced by the Torah sages preceding the Baal Shem Tov, and that advanced by the Baal Shem Tov".
Some of the opinions that are similar to the Rambam include the Shomer Emunim (written by a student of the Ramaz, and cited in Shoresh Mitzvas HaTefillah, sec. 34) and the Ramak (Ein Kol Tamar 5, ch. 1)
You can read the letter for an in-depth analysis of these and other opinions on Divine Providence.
It is important to note, as the Lubavitcher Rebbe points out:
This must be said: Even according to the opinions which state that Divine providence does not control inanimate objects, plants, and animals agree that G-d knows all the minute particulars concerning these creations, as the Ikkarim, Maamar 4, ch. 7, states: "We are forced to say that His knowledge encompasses every entity found in the world and every event that takes place. Nothing -- neither small nor great -- is beyond Him. Nevertheless, He does not watch over (animals) to grant them reward or punishment for their deeds. Instead, He watches over their particulars insomuch as they are part of the general category, protecting the existence of the species, but nothing beyond that.