To have time to bind keys, join as a spectator on a server which isn't near capacity.
Also, keybinding for jet and helo are massively broken, so here's the solution for that bug:
** TEMPORARY SOLUTION: **
The game has a settings file leak, where it gets slower and slower every time you make a change to any jet keybindings in settings.
To reset it delete the PROFSAVE_profile file in your My Documents/Battleifeld 4/settings directory and start over.
You'll have to rebind all keys again, which also count towards your max # of settings changes.
This is an issue with both jet and helicopter bindings
THIS IS A MAJOR BUG WHICH EA HAS YET TO ACKNOWLEDGE
For those who are PC savvy, here is a regex to find/remove all of the invalid entries in the PROFSAVE_profile file
^GstKeyBinding\.[a-z]+\.Concept.*\.(([4-9][0-9]*)|([0-9][0-9]+))\.[a-z]+ [0-9]+$
My PROFSAVE_profile file had over 327,000 invalid entries in it
So, if you know how to do regex search/replaces, you can bind as many keys as you can until the game crashes, then do a search/remove using the string above, then continue binding your remaining controls. If it locks up again, rinse and repeat until your bindings are all set. I only had to do it once, but YMMV.