For internal feedline, LMR400 (Due to distance), outside feed line, I'd do ladder line. As for antenna, you can't beat a dipole, except with a yagi.
If you're brave, you can try ladder line all the way. Might get interesting in the house itself. If you have a large budget, LMR400 is about as lowest loss as one can get.
Another suggestion: run the dipole from the tree line, to the corner of the house. You'll save on feedline distance.