The Bill Lawrence does sound good in the Rhoads! I've heard it in the US version, and while it needed the mids to R E A L L Y boosted, once corrective EQ was added, it certainly didn't sound BAD. (btw, this is due to the fact that the 2nd gtr player in my band had one for about 6 months, so I know it's sonic signature well)
However, I've had to make virtually NO EQ adjustments with my BKs. I usually just run my amp flat out and it sounds great. I love the fact that I can appreciate the differences in tones in my guitars without having to worry about one sounding 'right', the other 'wrong', esp when you EQ your rig to compensate for a particular guitar/pickup, and then it sounds like p00 when you switch.
The Bill Lawrence will get you through the day, but not in the way that the Miracle Man will.
Enjoy the BL while you have it, and then you'll doubly enjoy the MM when you pop it in!! :)