I am surprised you needed to ask this question too.
I've found myself in similar situations (although not as drastic), specifically with underfloor heating retrofits/tiling/plumbing/extending my own house etc. But it was still manageable to lift 3-4x/week.
Anyway, I'd probably train 3x/week using an abbreviated upper/lower body split.
Diet is the main thing when doing construction! By far the biggest one. This always goes out the window because you are so pre-occupied (can't count the amount of times I "forgot" to eat), and so will gains if you "let it go".
Usually, it's better recommended to diet under these circumstance because your minds not concentrating on how hungry you are (and you are doing cardio too anyway).