Hi Don,
When I started shooting in caves about four years ago, I tried mounting remote strobes between the doubles on my model(s) and quickly found that it limited my creativity, not only with the lighting, but also the type of shots I could make. Tank mounted lighting really only works (if one likes the lighting that tank mounted strobes produce) with "diver facing you" shots. It took a little trial and error (all done in open water!) but I settled - and my models preferred, hand-held slave strobes. Nothing is attached to the diver so in the event of a more pressing need, the strobe can be simply dropped. I had a short aluminum handle made that has the Ikelite strobe attachment end and then used the now-discontinued Ikelite EV Controller to trigger the strobe. There may be more elegant solutions to firing the slave with other types of strobes. However, the advantage of the controller is that its adjustable in terms of position. So, with the strobe (on the handle) being held by the diver (in the left hand, when shooting) the strobe can be pointed in almost any direction - so now I have options with front-facing, back-lit shots, from the back looking into the cave shots and almost everything in between in terms of shooting angles.
I use one strobe (usually turned down in terms of power so as not to over do the foreground in an effort to reduce my (the photographer's) "footprint" in the photo, and the divers get to angle and position themselves for the shot with a lot of flexibility.
Here's a photo that illustrates my description:

And here's a photo of the remote strobe rig...

Hope that helps! Best of luck with your cave photography!
Lee