I personally believe there are enough users in this game that like to experiment at different times and if there was a semi-useful, easily implemented way of using a Loogy, it would appear in the forums. I've seen a person or two hint at it, but nothing substaintail enough to think "ok there's an easy solution". Perhaps there's a way to setup your bullpen to get a LOOGY to work how Tony LaRussa used them thru his career, but frankly it should be very tough to set up.
I have no idea how the bullpen logic is written, but IMHO it should be something along these lines:
Starter goes until his target pitch count and/or pull settings are reached.
A Starter may be pulled prior to reaching his target pitch count and/or pull settings are reached if you have reached a point in the game where your setup men, closers or specialist are available to enter the game based upon the inning you set them at. The starter is only pulled in this situation during a "close" game (perhaps something we can dicated, but something like a 1-3 run lead) where your setup A eligible players or specialists are a better option.
Specialist should default to only the current hitter, where as setup men should default to the current batter, the guy on deck and the guy in the whole. ie, If I have a Loggy and a tough lefty hitter, he comes in to the game to face that batter. If the next batter is a righty or if the lefty is pinch hit for by a righty, the LOOGY is pulled. However, if I have no left handed specialist, but a left handed setup man, it would allow the left handed setup man to continue facing the right handed batter until his pitch count or pull setting is implemented.
A crude layout, but it should be all that difficult to write and implement into the logic. Heck, I'd vote to give us more control of our bullpen limitations. ie, go to a setup/B guy if you're up 3 in the 7th and need to bring in a bullpen guy rather than defaulting to a rested setup A guy. Or perhaps we change to that to 4 runs or 2 runs if it fits our needs better.