Gee, that's an interesting problem. I haven't done it, but you know, I think that for just 2 chickens, you could get away with a 27" wide run. They would need to get along well with each other.
Your main problem, chicken behavior wise, would be if one cornered the other at the end of the run and decided to clean its clock. There are ways to design in some protection from this. If the run is tall enough (like, 3'6"-4'+), you could put a roost-like bar about 18"-2' above the ground, located something like 2' from the end of the run, so that a cornered chicken would have some hope of hopping up onto it and over the aggressor's head.
Or, less aesthetically pleasing, a reasonably solid barrier dividing the run in half lengthwise, something like 18" long and starting 18" from the end, so you are creating sort of a loop at the end:
_________________________________
|
....................... | (again, to prevent anyone
| from being cornered with
________________________________| no exit available)
Three chickens would be a little trickier than two, since the chances of someone getting ticked off at someone else are considerably higher. You could try it (design the run as big and long as possible) and see what happens; worst comes to worst, you might have to get rid of one.
A 27" wide coop would pretty much have to be cabinet-style, where you have doors on one long side (or half a roof that lifts up). Being in a warm climate should really help you a lot. You might consider building the coop in the middle of the space, raised up above the ground, so that you effectively have run going in both directions from the coop plus space under the coop for the chickens to hang out too. I am thinking maybe something that would look like a box on legs (since it would be tiny and portable, *probably* no issues involving lack of building permits). If you want to try 3 chickens, you might wanna go as big as is practical, like maybe 27" by 6, about 2'6" off the ground, and least 3' high inside. Food and water could hang in the 'underneath' part. Plenty of screened openings for ventilation, with flaps that could close in the event of bad weather.
Perhaps something like, top view:
____________________________
| r |
| o long rectangular |
| o opening in floor, w/ |
| s ramp going down |
|________t___________________ |
Side view:
______________________________
| |
| |
| |
| |
| |
| r |
| |
........ .. |____________ ___| ....................................
| \\ |
| \\ |
| \\ |
| \\ |
run | food water \\ | run
| \\ |
There are lots of other ways to do it too, of course, but this would give you maximum space per chicken and also multiple ways for arguing chickens to get clear of each other.
Anyhow it certainly does seem doable, to me, despite the narrow space. Good luck and have fun,
Pat