Hello Alex,
I'm guessing this reply is much too late for you, but it may help someone else. I am using bird's foot trefoil as the basis for a boulevard lawn that is very exposed to the full sun and composed of very sandy poor soil. The trefoil keeps everything green in the heat and drought. It is much more drought hardy than clover although clover is the next best. I have a mixture of grasses, bird's foot trefoil, and clovers, as well as violets, cinquefoil, Indian strawberries, autumn hawkbit, and thousands of scilla in the spring.
Bird's foot trefoil is salt resistant, grows in compacted, non-fertile soil, adds nitrogen to other plants as well as itself, does not overrun other species, and as you have seen stays green in heat and drought; plus it has beautiful yellow flowers - what's not to love???
There are a few problems getting it started in a well-tended lawn, however. The seedlings grow very slowly and do not compete well with other plants. I read that it cannot be transplanted; after 2 summers of fruitlessly trying to do so. It needs to be not mowed shorter than 3 inches, and 4 or 5 inches is much better. Especially until plants are well established for about 3 years. After that I have mowed it as short as 2 1/2 inches to hold it back and let the grass and clover grow up through it. I changed the 8 inch wheels on my lawnmower to 10 inch ones so I have a 2 1/2 inch to 5 inch cutting range....One more thing....it does not store carbs in the
roots for overwintering during the summer growing season, but starts to do so after Sept. 1st. until the end of Oct. So it needs to be left long then as well.
It does lose all its foliage with a hard frost as does clover, so I use it with regular lawn grass to have turf when the snow melts in March, April, and May.