Challenging hardwood flooring question

We are planning to replace our carpets with hardwood flooring but there's a small problem: Our home is a little odd shaped, to say the least. Neither are most walls 90 degrees to each other nor are front and back walls parallel. Apparently planks need to be laid down in the direction of front/back walls. Which means if you start parallel at the front, by the time you reach back wall, it's going to have to be angled, which becomes unsightly. We talked to couple of hardwood specialist but no one could provide a decent solution.

Any recommendation of a company/contractor who's got an eye for the aesthetic? Or recommend a solution?