Quote from FaderTrader:
The way a prop firm works when you put your own money up is...
You desposit $X (normally 5k). You are buying Class B shares in an LLC. The LLC itself adheres to the PDT Rules and is capitalized in accordance with those standards. The Class A share holders make money off of commission markups (above the base cost), which is still much lower than retail commish.
You can trade remotely at many firms. In fact, if you are only trading part-time and are, hence, doing low volume relative to a full-time trader, it's likely you'd be required to do so.
I'm going to pre-empt all those who say, "You better have good risk management because if anyone else is that pooled partnership blows up, you're screwed." Yes, this is correct - though rare - and can be mitigated by frequently swiping your profits. Also, as a Class B shareholder, you have no real incentive to blow up. So, there is - to some degree- self-policing since everyone has thier own money in it.
In any case, I don't know of any firms that cater to options traders, but I'm sure they exist.