*chorus* Hi Thea... Welcome to the anonymous Storycrafter self-help group. My name is SuddenS, and I am a Storycrafterholic. Yes, that is a mouthful, but it is very accurate indeed.

On SC, we are kind of a small group that has been here forever, another small group that has been around for a few years (me!) and then the travelling crowd that has the potential to turn into one of those groups. Its always interesting to find out who is what!
Okay, I'll stop now, I am scaring myself.
The only problem (if you want to call it that) that I can see with your story idea is that you would have to work rather closely with the writers on the character creation... not every writer likes that. You might even want to let them also work together on their characters as you mentioned that it is a family... which is always (in my opinion) very hard to roleplay. The characters would have had random encounters with each other before and will have already formed opinions about each other which is hard to do.
If I were in your place, I would also not randomly choose someone to play the murderer but rather ask them to include their willingness to do that (or lack thereof) to include in their character application in the private section that only they and you can see. This way you will probably still have a pool of potential murders you can choose from, but no one gets 'forced' to do it.
Last but not least, some people find it hard to write about the process of their character finding out who 'did it' if they themselves already know the culprits identity... so you might not want to let the murderer write about that in public, like f.e. the way he prepares the poison or something

Maybe let him/her pm the victim?
Thats all I can think of right now (and as I am currently busy and with the stories I am writing in I probably won't join, so don't necessarily listen to me!

).
Good luck.