To simplify I actually design city streets with the BOC profile in mind...its poured first anyway. Therefore on my plan and profile you will lose your side streets cross slope as it enters the main roads intersection, but you don't want to lose your BOC height. So design your boc profiles to match (alot of times its the same as your cl elevation). Then in your profile view of the side street show a line at Sta 0+00 to 50 or 100 that starts 6" (curb Height) below the design profile and tapers up to the design profile and label it CL profile...flatten crown to meet edge of road.
the key is the contractor building it...on a Plan over profile sheet draw the C/L profile as if was continuing to the intersection without flattening out...because if you flatten it out C3d lowers the gutter as well.... hence the bird bath.
I will simply show the profile as if it wasn't being flattened out...that way your BOC/gutter remains correct...next
just draw a line from back 50 or 100' from the C/l to the flattened (true C/l) height (I assume 6" less) at the gutter with a leader note point to said line stating..flatten c/L to match gutterline of existing street.