since you’re leaving out things like Universals, and spinners, and the like you might find you want to put together your own kit. And from the sound of it you want your own box anyway.
So maybe do this - get you the box you like for your need. I’m sure you have something in mind. And since you say construction I have a feeling portable is more the need. Master kits might not be the way you want to go.
To that end - I would then fill it with good enough items and because you say construction I wouldn’t want to spend much as they might get lost or damaged. I sort of see this as a tool kit for turning those lag bolts, and other pieces not so much I need to get the alternator off a 07 vette. Granted what I line out should work there too.
Do you need metrics? If not you can avoid them. Also do you need 1/2 drive? what do you expect to have to turn
SO then - actual tools - after you have a box in mind. Get thee to the closest autozone. I know, I know - but they have quality taiwan made sockets in set boxes at very reasonable prices. maybe not get the full kits but just sets of the sockets. I start off many a college student this way - and I know many that still use their sockets on their cars to this day. Get your 1/4 set, then your 3/8 set.
If you need 1/2 drive get that too.
Get some extensions they come in handy. probably more for the 1/4 drive and 3/8 than the 1/2 For the 1/2 drive if you get any I’d get only impact sockets
Of devices to get with them - as I expect you have drills and maybe an impact driver - get a 1/4 and 3/8 hex to square adapters so you can run sockets and the like with your drill and impact driver - I use this the most for construction tasks. and make sure you get at least a 1/4 - hex bit holder socket for your kit.
For wrenches if you feel you need them - get that from autozone or maybe even home depot or lowes - maybe skip on the ratcheting to save money I don’t own a set either to be honest.
Otherwise do what fred suggested and get either that gearwrench kit or maybe one of the dewalt kits, or even the cheaper stanley kits you can find online.