I took some quick samples from COCA -Corpus of Comtemporary English (it brought 38 hits) and one from the internet:
That being the time I didn't make it home for my own party due to being involved in an unforeseen accident. (source: Fantasy Sci Fi)
Hans did not feel pressure to exercise due to being self-motivated. (Source: Physical Educ.)
Another nonprofit had a talented developer quit due to being underpaid; we have trouble recruiting due to low salary offers. " (source: BioScience)
Jeff Smith - a k a the Frugal Gourmet - having to get a little more frugal now that he's off the screen due to being accused of molesting eight men when they were teenagers. Law and Order's excellent three-part West Coast road trip, mostly for the chance to see Jerry Orbach on a beach. (source: Rolling Stones mag.)
This indicator is defined as the share of the population aged 16 and over reporting unmet needs for medical care due to being too expensive. (from the Internet)
So, I have no qualms about using it with a verb, of course, in the given context. That´s why I pointed out that it wasn´t grammatically incorrect, only (way) less used than other forms.
I also agree with the answers from Marcio and Andrezza too. It worth noticing that this "due to" with "being" is almost a particular case.