Sometimes, despite the strats, the AI can be very difficult, so consider this more of a generalised speedrunning strategy. There are definitely some inconsistent people in this game and you may want to experiment with finding your own methodologies.

I should note too, an easy speedrunning trick is possible.

Firstly, from #19 - After you leave his house turn left and jump over his porch railing. - This gives you a neat line around the edge of #20 (Elom's) garden which avoids the police (which seem to congregate there quite heavily). - I'd recommend against turning into a bat, however, until you know you'll reach the door (Elom doesn't mind your nudity).

After #20 (Elom) if you follow the garages to the left, turn into a bat and jump onto #21 (Karen's) roof. You can literally run and jump over it to land right on her doorstep. - This only works as a bat, but it will easily save you 10-15 seconds (and there are 'clothes' just to the left of her door).