A blade outer air seal (BOAS) segment comprising: a transversely concave inner diameter surface along a main body portion and extending from a first circumferential end to a second circumferential end; a first mounting ear extending outward from the main body portion, the first mounting ear and a first end portion of the main body portion defining a first circumferentially outwardly open mounting recess; a second mounting ear extending outward from the main body portion, the second mounting ear and a second end portion of the main body portion defining a second circumferentially outwardly open mounting recess; an outwardly open well between the first mounting ear and the second mounting ear; a first load-distributing coating along the first mounting recess; and a second load-distributing coating along the second mounting recess; a plurality of layers (86,98,120,130,140) formed of a ceramic matrix composite material, the plurality of layers (86... 140) including: a first plurality of layers extending along the first circumferentially outwardly open mounting recess; a second plurality of layers extending along the second circumferentially outwardly open mounting recess; and a third plurality of layers extending along from the first mounting ear to the second mounting ear; one or more first wedges (160,162,164) between layers of said plurality of layers along the first mounting ear to circumferentially flare the layers along the first mounting ear; and one or more second wedges (160,162,164) between layers of said plurality of layers along the second mounting ear to circumferentially flare the layers along the second mounting ear. a transversely concave inner diameter surface along a main body portion and extending from a first circumferential end to a second circumferential end; a first mounting ear extending outward from the main body portion, the first mounting ear and a first end portion of the main body portion defining a first circumferentially outwardly open mounting recess; a second mounting ear extending outward from the main body portion, the second mounting ear and a second end portion of the main body portion defining a second circumferentially outwardly open mounting recess; an outwardly open well between the first mounting ear and the second mounting ear; a first load-distributing coating along the first mounting recess; and a second load-distributing coating along the second mounting recess; a plurality of layers (86,98,120,130,140) formed of a ceramic matrix composite material, the plurality of layers (86... 140) including: a first plurality of layers extending along the first circumferentially outwardly open mounting recess; a second plurality of layers extending along the second circumferentially outwardly open mounting recess; and a third plurality of layers extending along from the first mounting ear to the second mounting ear; a first plurality of layers extending along the first circumferentially outwardly open mounting recess; a second plurality of layers extending along the second circumferentially outwardly open mounting recess; and a third plurality of layers extending along from the first mounting ear to the second mounting ear; one or more first wedges (160,162,164) between layers of said plurality of layers along the first mounting ear to circumferentially flare the layers along the first mounting ear; and one or more second wedges (160,162,164) between layers of said plurality of layers along the second mounting ear to circumferentially flare the layers along the second mounting ear.