Very readable and yes, I think Harry would do that, and Snape would eventually appreciate it as a Slytherin move, since it saved him.
Point of order - internal evidence suggests that Snape defected to the Order nearly a year before the Potters' deaths. The first clue is that the trees are bare - something which doesn't happen here in Scotland until mid to late November.
Then there's the fact that Rowling has said at interview that the Potters went into hiding just after Harry's christening - which probably took place well before Harry was 15 months old.
Then there's Lily's letter, written just after Harry's first birthday party. She refers to the deaths of the Mackinnons as a recent event, so her letter was written around three weeks after the Order photo' was taken. Moody lists an enormous number of events which took place between the photograph and the end of the war, so it's really not credible that Harry's birthday party was delayed until October and the photo' was taken only three or four weeks before the Potters' deaths. It seems Harry's party really was held round about his actual birthday and the letter was written in early August - and the family are already in hiding, and have been for some time.
It seems that the Potters went into hiding in two stages. Snape conveyed an initial warning in late 1980 or very early 1981, and they went into medium-level hiding. In October 1981 he warned Albus that Voldie was about to strike, and at that point the Potters increased their security and went under the Fidelius.