I hate to use the "you should be looking harder" trope, but every company I've worked at has had developers at or over 53, and not one of them had such onerous time tracking requirements.
One tracked time to attempt to get r&d tax credits on certain work. The other was an agency that tracked time in case of disputes with unruly clients (such as the time we had gone through 3 project managers and 2 CFOs while we worked with them, and they were desperate to recover money from their own bad mistakes). The rest didn't track time at all.
Not to mention that LOC as a metric has been an industry joke at least since the early 80's: http://www.folklore.org/StoryView.py?story=Negative_2000_Lin... I've heard of funnier versions of that story, but haven't tracked them down yet.