The feedback I've had on my game has been surprising, I wasn't expecting so many people to play it, let alone have almost nothing but good things and constructive critiques to say about it. So that wealth of play-test input together with the fact that I really enjoyed making the game and it seems to be a relatively scarce concept (I haven't seen many games like this at least) have brought me to the decision to continue developing it beyond LD.
Well I say "continue". I started from scratch. I don't know about you guys but my rushed code was a HOT MESS. Dear Lord I hope no one actually looks at my source code.
I've got a first Dev Blog video up which I'll stick at the end of the post if you're interested. And if you haven't played/rated my entry, please do. You can find it here; https://ldjam.com/events/ludum-dare/44/dea-7h
Moving Forward
My game idea involves randomising a lot of NPCs. When I cobbled together my entry I had the most basic sprites imaginable put together in a hacky way;

This was something I couldn't help due to the time constraints, but it severely limited the visual characteristics of my NPCs, which is a problem in a game where you have to identify an NPC based on those limited attributes. So naturally the first point of order was to make more detailed NPCs with more distinct characteristics. I set about writing code that would take in different layers (body, t-shirt, hair, etc) and paint them into one complete sprite, colouring each layer with a random selection from a predefined set of colours.
Adding different variations of those layers (for example, long hair, short hair, balding hair), as well as the option to skip that layer entirely (jacket or no jacket) already increased the visual variation in my NPCs ten-fold.

And before the game is done I intend to have more clothing variations, different body types, and so on. Another thing I want to add in the proper game is distinct locations. My entry essentially just had one "street" that you could move up and down, but I'd like to have different areas the player can visit, which would add both an element of exploration, and an additional attribute to learn about your target, as the NPC you're looking for could be in a specific location.
So that's where I'm at. After a week of casual evenings, I've essentially got the stage I was at in hour 6 of the actual Compo. But I'm cool with that, because it looks a heck of a lot better!

If you're interested in my dev blog video on this, you can find it below. And thanks again for all the playing/rating of my game. You guys have been amazing.
https://www.youtube.com/watch?v=xfqE4MCA8yw