Answer

From the current official Shravanabelagola pages, I could verify the presence of the Digambara Jain Math and its present Bhattaraka, Swastishri Abhinava Charukeerthi Bhattaraka Mahaswamiji, but I could not verify any currently listed resident Digambara muni there. ( shravanabelagola.org)

Explanation

Shravanabelagola is a very important Digambara Jain tirtha. The official site says its Bhattaraka tradition is part of the Shravanabelagola Math heritage, and it lists Swastishri Abhinava Charukeerthy Bhattaraka MahaSwamiji as the present Bhattarak. ( shravanabelagola.org)

Spiritual Understanding

In Jain Dharma, the presence of a Bhattaraka seat means the kshetra continues its religious, educational, and devotional services in the Digambara tradition. So even if no resident muni is presently listed, the place remains deeply connected with Jain monastic heritage. ( shravanabelagola.org)

Takeaway

So the clearest answer is: Shravanabelagola has a Digambara Jain Math and a present Bhattaraka, but I could not confirm a currently resident Digambara muni from the official pages. ( shravanabelagola.org)