On further thought, the problem with too much "I" is not so much the capitalization, rather, it seems to be the construct of the sentence itself, that is based around the person.
It may be better to start writing sentences without mention of the self, except where absolutely necessary. Instead of, "I think the reason is self-agrandizement" it can be stated, "the reason may be self-agrandizement". Instead of, "when I wrote that yesterday" it can be, "when writing that yesterday". In the first case, the self-pointer is negated completely. In the second case, it is merely not mentioned. More of a passive action.
When writing documents in the past, there were situations where a program required action from a user. Not wanting to directly reference the user, the document was written in such a way to make the program act on action, but no specific person must do it, nor "must" it be done. So, it was written something like, "the program will continue to process when further input is entered". After pointing out the method used in writing, some co-workers enjoyed the output. The idea is that direct reference to the user "scares" the user, simply because it puts the user on the spot. Or, that until now the user came and went as the user pleased, whereas now, the user "must" be there. That triggers the automatic defence mechanism many have, which shows up as an illogical resistance. But, with no direct references, all such issues were gone, and the documents, seemingly, were better received.
As such, it is possible that the same can be applied to self-reference. And sentences that convey a thought, convey just the thought, and not that the writer necessarily was the person with the idea. Simply because, that isn't important.