<p>I hate to throw cold water on all the love, but . . .
Given that many MOCs are conducting their interviews during this month, your intentions may be to no avail.
I suppose there is no harm in writing to explain your circumstances. You should understand, however, that such stories of why [fill in the blank] one did not do their best are, to say the least, a common. Others seems to handle the demands made upon them.
For example, I know of at least one [I am sure there are many] varsity football player [large school w/ a big-time football program] with over a 1500 who is a current applicant.
Significant jumps in the SAT score, at this late date and especially after three tries, seem to be an unrealistic expecation.</p>
<p>He will, most likely, be interviewed by MOC. They seem to interview everybody. But, I would not expect the “I can do better” line to be very influential.</p>
<p>Good luck, nonetheless.</p>