I had some boards made, 1 layer Rogers TMM6, 0.5mm, the rest in FR4.
No problems with warping, but they managed to put the 10 GHz stripline
filters on the FR4 side and the DC distribution on the Rogers, in
spite of clear instructions.

The second run was OK.
The eval boards for the SKY 67150 MMIC are also Rogers 4350?
(the fireproof version of 4003) for one layer and the rest in FR-4.
That seems to be normal practice.
Cheers, Gerhard