You could also consider a silicone intensifier where you would have an inner silicone block that clamps on the back of the laminate until cured.
Layup a dummy part in your mould to match the finished part thickness and then pour cast a silicone into the back of the part, even include the flange if you dam the edges to stop it flowing out. The silicone block can be clamped down with something flat like plywood or other.
Something else to try is maybe looking at your laminate orientation. If the the fibres are running directly square over your flange corners then this is a more difficult and sharper corner for the fibre than if your material were at 45 degrees. The softer angle across the corners is easier for the fibres.
Also maybe finding lighter/softer fabrics. Finishing the last ply with fibreglass instead of carbon or just adding a little thickening addative to the resin will make it a bit sticker and help it stay in place.