LAPD is P-25 digital. You might find a used BD-250D or similar older model radio for that price.
A new radio such as the BCD 325P2 will be just under $400. You might luck out and find a refurbished radio from Amazon or Bearcat Wharehouse for about $300.
I'd pass. The new system is still under construction, so programming once isn't going to work. It's going to require tweaks as the system is updated, which at $50-80 per will quickly get you to the same money as a SDS100, not to mention the hassle of shipping the radio multiple times. And do the guys on eBay know how to do a proper non-affiliate scan? If not, the sysadmin is probably going to brick the radio when it tries to affiliate without permission. And you could face legal troubles.There's guys on Ebay that will Program it for you. Around 50 to 80 bucks.