Hi. I have a similar problem.
As far as I know, you can run astrometry with the --predistort option and give it SIP coefficients (in shape of .wcs or .fits). The program should then undistort your stars' positions, and then you can proceed with normal solving. The problem, at least for me, is that I can't manage to make it work. I think that after predistorting star position, you should run astrometry with no-tweak-order since the image is already corrected, but astrometry gives an error once you tried it. If you try to run it with some tweak order, it will move index stars, and that is wrong. I would love to here from you if you managed to work it correctly.
Cheers