Sorry to hear about the other monti
@Shorebreak...those darn nudis are really resilient once their established, if you have some. When we talked about it that's what it sounded like to me.
If you wanna check the tank for the new frags sake, here's some photos of what you're lookin for. There are a few different species, but most of the nudis themselves as well as their eggs either look like tiny white snowflakes, or tiny white clumps of cavier.
I've heard of hobbyists and professionals having success with taking a toothbrush to the adults and the eggs. If it's a more delicate monti, you can try a Waterpik turned down all the way (picture attached). It's nice because you can easily control the pressure on the coral with the pressure dial and how far away the nozzle is away from the coral. They also come with nozzles that make different flow patterns, and one is a toothbrush attachment so best of both.
The hosing that the pik comes with isn't very long (I can get 3 ft out of the one I use if I really stretch it), so may need to get a bit creative. If you do decide to go with a Waterpik, make sure to use tank water to not mess up levels. I wouldn't expect the pik to last forever because it's saltwater, but if it's the difference between prized montis perishing or surviving, I'd say it's worth it.
Hope this helps in the battle, let us know how the progress goes.