If you want it in your civilian log, log it as 90 total time, 7 hours of PIC and 83 hours of dual received. Plus the various night, cross country, etc. entries.
In the remarks, say it is Navy training, you could even list the event number. For the solo flights also say it is Navy solo training flight.
And don't forget civilian time is block out to block in, not takeoff to landing like the Navy. So your hours are slightly higher for civilian purposes.
This is the perspective from another CFI.....
Why do I think you should keep a civilian log? Navy logbooks sometimes get lost. I personally use an electronic logbook and it allows me to enter block out, takeoff, landing and block in times. For me, it's a pay thing. For you, it's an easy way to compare military totals versus civilian totals. Plus if you ever do want to transition to the airlines, applications are so much easier when everything is is in a good electronic logbook. It makes figuring out the various app categories easy.
Also as far as the various times - some airlines will allow a military to civilian fudge factor to make up for the different ways of computing flight time and some don't. If you have a complete civilian log, you don't have to worry about this.
Also if you keep a civilian log as you go, it's a lot easier than trying to reconstruct everything when you eventually need/want it.