Some aircraft come from the Manufacturer with Perf Data for paved and unpaved Take off distances.
The ones I used had a ref for "approved" unpaved surface. In so far as the nose wheel track could not be more than 10 mm deep. If deeper you were outside of the test data and making your own if you attempted a take off.
I think it realy comes down to
A : the manufacturer releasing this data.
B : the data even being produced in testing