I know you said that you do most of this, but I will say it anyway. The key is making it routine and even boring. Do it (record yourself) every day until you forget what the problem is you are trying to solve. Make it part of your practice. Record things you do not plan to record or listen to again ever. Don't listen to them for a couple weeks, at first. The experience of listening to your recordings affects and participates in this problem too. You will not hear your self in the right light until you forget the experience of the recording session. Save that for later when you find your self getting more comfortable.
No sense in not pressing the recording button, or pressing the pause button. You do not experience the problem then. Nothing is solved from the placebo because you know it is truly a placebo.
I assume that you are recording to hard drive with lots of space. Try starting the recording, tell yourself your are either going to take several live practice takes, or that you are simply going to practice with the recorder on. You can change your mind if something turns out... but plan to delete it for the first week or two. Practice recording everything you play. Practice and play the piece until you forget you are recording. and repeat that practice every day for a few weeks. Practice doing this, as part of your practice for a week. Eventually your fear will succumb to boredom if nothing else, letting your talent into the recording with relatively little self consienceness. Plan to dump the recordings. Throw them out. You can change your mind when you get something good.
If you are willing to have an accomplice, and experiment you can try is this:
Have a partner decide to record or not record a performance at random in a way so that you do not know from moment to the next if you are being recorded or not. This ignorance of the recording process could help your initial work/practice to overcome your habit/difficulty/fear.
An Important Note: Most people do not like the sound of their own voice, and sometimes that extends to playing a non vocal instrument too. I have felt that way about both, but over time learned to hear by instrumental playing with a kinder critical eye/ear than I do with my voice. Do not be discouraged by this. It will take time to learn to hear the sound of your own voice without feeling and focusing on the fact that it does not sound like you, does not sound right too you (the way it was in your head when you hear your voice live). It will also take time to stop hearing the slightest nuances of your performance that weren't quite exactly what you wanted as mistakes. Call them happy accidents. Things that happen that were new and different than planned, but perhaps valid. Practice being a kinder judge to your own work, as you are likely to be too critical and not a worthy judge. After decades, I still am too fussy about my own work and totally clueless as to how good it is. I understand Hendrix hated his own voice and was always asking/ telling the engineers to turn it down and turn up the guitar (citation needed (I read too much Wikipedia)). This is why you should not listen to the recordings until after you start to get more comfortable with the process.
Digital effects in play back can help but be leery, it is common for people to want to engineer (mixing, recording, adding effects etc.) their own voice poorly even if they are good at engineering the rest of the time. There is a tendency for most to want to hide their voice in effects. However it can help your recording to listen to the monitor (on head phones) your live recording as it happens if you put some effects on the playback, so consider experimenting with that. There is more than one pitfall there. One such problem is that you can be distracted by your own recording sound and effects, much like a bad cell call where your words echo back to you as you speak.