Conventional financing for Green Card holder living abroad

Hi,

I would like to ask some help of the collective wisdom of BP.. Hopefully someone has seen a similar scenario previously.

I am a Green Card (Legal Permanent Resident / LPR) holder in the US, but currently living and working abroad (temporarily - will return to the US in a few years). I have been told that this makes conventional financing a challenge due to not being able to pass the Fannie Mae DU automatic underwriting.

I wanted to ask if anyone had experience with:

1) Any Green Card holder living/working abroad obtaining conventional financing in the US?

2) Any lenders that are willing to do manual underwriting (non-DU)? Especially in the state of Texas.

This would help tremendously if someone can point me in the right direction with a few leads. Thanks very much in advance!

Best Regards,

-Dmitri