My two cents, for what it's worth.
I remember dropping a weight on my foot a couple of years ago, just when I had finally got the ball rolling with my training routine after a lengthy period of irregular activity.
What surprised me was that within five seconds of it happening, instead of reacting with immediate anger and disappointment, I saw it as an opportunity to exercise psychological flexibiliy via working around the area and doing some much needed re- and prehab.
You've already displayed the same mentality in this paragraph:
Stick with the above solution-oriented mentality and accept that the injury is on a timeline of its own. However much misery you choose to impart on yourself during that period is up to you - just bear in mind that it's entirely optional.
This entire post could just as well have been directed toward me, had I been in a similar situation. Best of luck, and a speedy recovery.