You definitely don't want to trim the base all the way up to the hair. That will make it worse because having the base and the hairline together will create an even more pronounced edge.

The best you can do is use swiss lace in the front attached with glue and make sure it stays tacked down good.

The only other thing you might be able to try is to cut scallops into the lace. Anything that breaks up that hard edge will help make it less detectable to touch.