Most of the guys fishing the Big E, myself included, keep the mono short because if you have 25 yards of 50lb/diameter mono line chasing the lure/popper you will notice a difference in your casting distance. Most go to a medical supply and pick up a roll of Koban. Koban is a medical wrap that sticks to itself and wrap a few times around your pointer and middle finger (wrap separately not together) to hold the spectra with your wrapped fingers. On the TBB 06 I retired one of my spinners because it was loaded with 80lb spectra, 3' 80lb flourocarbon and would not get a Tuna Hunter outside the lights! That is the reason I got to tryout the Cabo 80, Stella 8000, Torium 20, and I don't remember what else I casted. I went back with 50lb spectra and now the Tuna Hunters SOAR at least 200' from the same rig.
Load the reel with spectra and pick up some Koban. If you can't find any someone on the boat will probably have some you can use. If you don't like it cut off some spectra and put mono under your finger right there on the boat.
If you start with 25 yds of mono you also won't have but 3/4 of a spool by the time you get your bait in the water and that is bad because it reduces your retrieve speed and increases the drag pressure on the fish. Remember 15lbs of drag with a full spool, 30lbs at 1/2 capacity, and 45lbs at 1/4 capacity.