A pull up manoeuvre is a bad idea as you would need to pull the nose up to 20 degrees
No, only up to stick shaker, which might be very much lower initially and which incidentally gives the actual best performance getting away from what is the greatest threat: The ground.
Isn't that the foremost objective when you're hanging in the air, close to ground?
It might sound strange, but such bounced/balked landings, if due to pilot error or ambient conditions, were what brought the three MD11 down and now a -300. All of them seemingly tried the procedure with holding actual attitude and then trying to go around .....
I can see the reluctance to propagate such a drastic manoeuvre, but it seems to me, that drastic situations sometimes require drastic measures.
.... and it's just a suggestion ....