I'm one of those who frequently bashes the dinky little death traps made by the commercial outfits to sell to backyard growers. For the most part, they are truly horrible. So if those are no good, what is?
It is no secret I'm a fan of the Woods Colony house. But the original at 10' x 16' is too big for most of us. Even the smallest backyard house Woods described was still 6' x 10'. It was said to be good for up to a dozen birds. Still too big?
What about one at 4' x 6.5'? By my math, it would be good for up to a maximum of 6 birds. A pleasure palace for 4. If you wanted to do an attached run, this could be made at 8' x 6.5', but the ratio works better if you made it coop 4' x 6.5' and attached run of 6.5' x 6.5' or 6.5' x 10.5' overall.
I'd build the part under the monitor roof at 4' x 4' and 4' high at the peak. Scratch shed in front 4' x 2.5' with the screened in opening about 24" high and made with wide open wire, hinged at the top to fold up for clean out. Back part would have external nest boxes (2) on the back wall. A single 4' roost bar. Back wall would be 32", so high enough to have a roost bar about 24" off the deck. Monitor window at the top about 8' wide. I seem to recall seeing transom windows about that wide. Treated plywood floor with vinyl floor covering.
Coop would be built elevated 2' off the ground, with solid sides on two sides beneath the coop part. Covered roof over the run, also monitor style with translucent roof panels for light. You could probably do all this with 3 sheets of plywood and some 2x4 lumber. Overall height would be 6' at the peak and under the run so you could enter the run for clean out etc. I'd leave the feed and water beneath the elevated coop to keep it clean and dry. If space was really tight, you could omit the run entirely and it would be fine for 3 or 4 birds as is. (enough birds for a dozen eggs a week).
To get an idea of what this WOOD look like, click on the link to my Woods Colony House in my signature page. That is the overall shape and appearance, but reduced to 4' x 6.5' overall. I think it WOOD work!