What I've found works best is to leave out Braveheart's Policing Script completely because it doesn't run through LCPDFR's API so a few times you will get suspects that are 'unarrestable' or even unresponsive (more about BPS at the bottom of this post). What I did was modify PoliceHelper v1.2.1b to disable traffic, world, and to also disable "other events" and also the PH Medical Examiner/Tow Service .inis to have the drive-up services appear and disappear within seconds as well. I noticed that when the 'drive-up' services where allowed to linger around, more PoliceHelper crashes would occur. Like ineseri has posted in a few threads with the "PreloadAllModels=True" fix (under [Main] @ lcpdfr.ini) and on top of that to give the base LCPDFR stability. Anyway enough gibberish, here's what I changed, these brought me the most stable LCPDFR (v1.0) and PH experience so far:
In vdH_PoliceHelper.ini:
[ SETTINGS ]
NoPause = 1
// 0 - pause while in PoliceHelper menu, 1 - no pause, 2 - pause only while in car
[ EVENTS ]
TrafficEventsTimeout = 0
// Set timeout for creating traffic events (speeders will be created 2x more often).
// Set it to 0 to turn off traffic events.
WorldEventsTimeout = 0
// Set timeout for creating world events. Set it to 0 to turn off world events.
EnableOtherEvents = False
// Enable casual events like tourists asking for directions etc.
I noticed the NoPause command allows LCPDFR to run in the background as it should while PH's changed "NoPause = 1" command (my speculation without diving deeper into the actual code) doesn't pause your GTA IV causing the mods to mesh a lil' bit better and smoother as long as the events are disabled. If the drive-up services just appear and disappear instantly, they really don't cause any interference with LCPDFR's API coding. Of course again, this is testing speculation granted I haven't dove deeper into the actual code in runtime and so forth. If anything I have a much easier time with this set-up not having to reload (reloadscripts command) PH every 15-20 minutes and the trouble of going back to the PD station after a LCPDFR restart, rechoosing my police ped, reassigning my partner etc etc.
In vdH_MedicalExaminer.ini:
[ SETTINGS ]
Mode = 2
// 0 - normal mode
// 1 - fast mode, team spawns near victims, takes them and drives away
// 2 - rapid, team spawns, takes bodies and disappears with them (magic)
In vdH_towService.ini:
[ SETTINGS ]
TowMode = 2
// 0 - normal (default)
// 1 - fast (truck spawns near car to tow and drives away with it)
// 2 - rapid (truck spawns near car to tow and disappears with it)
I urge others to give this a try and see if they get the same results. If your PH scripts are crashing, why not right? Anyway, this is the best way so far I have found LCPDFR and PH to play more nicely amongst one another. As far as Braveheart's PS goes, I would just wait until more API "approved" callouts/events are released. Thus far, there are a few in development at least! (Please let me know if anybody else has had more success with Braveheart's Policing, I disabled it right away after I received a fight call and no suspects responded/surrender after 20 and more continuous tazes...)
Edit: **Update 2/16/14 Still crashing even with these options set, was worth a try though. "Reloadscripts" command seems to be the only answer at this time when PH crashes.