Here is another kaeshi waza: after Uke puts you into kotegaeshi but before he has a solid lock to really press down hard on the back of you hand, you have an opportunity to reverse the kotegaeshi and make yours stronger.

Just before Uke presses on the back of your hand, grab his kotegaeshi-support hand with your free hand – not as a handshake grab, but the reverse of that, as in you want to do kotegaeshi. Next, send in the elbow of the would-have-been-kotegaeshi’ed arm toward his hara, alter your stance so it is directed at him, then break his grip and rest your forearm on his te-no-ko. Readjust if necessary.