This explanation:
Understanding ProPhoto RGB
should give you an idea why you want to stay in ProPhotoRGB (don't know where you're seeing Pro Photo Lab, googling doesn't bring up anything but then I don't have Lightroom, just ACR).
I wouldn't concern yourself with color spaces in Lightroom since it saves edits in the form of XMP data and doesn't touch the original pixels even for jpegs unless you resave/export out of Lightroom under a new name.
Whatever you send to an outside printer will have its pixels baked in according to your edits and at that point you can convert to whatever color space the printer asks for. The original should never be touched for all tiffs, jpegs and Raw, just have xmp metadata edits attached.
Working space is what it means and doesn't necessarily mean the final output space which should be decided by the printer if that's the final output space.