Used up all my dungeon tickets

It's a bit of a bummer that dungeons don't raise your rank with life... but then again, your rank cap is pretty high anyway, so maybe it's fine... I had a good amount of life left at floor 55, so I thought, 'Can I make it to floor 60!?' but then I got a super long map afterwards, and in a choice, I tried to pray for a Gold Hopper with the 'sound' option and got the Cancer House map, so I couldn't reach floor 60... I was grinding to reduce turns in the Alternate Layer EX, but I'm getting tired, so maybe I'll retry when the lightning bonus comes around... I tried ice just for kicks, but it was weak >< Tezuka is almost complete in the dungeon, but I can't imagine building a party without Tezuka, so I just have to keep completing her. Even though it's supposed to be a lottery from the tons of abilities available, why do I keep getting duplicates? They keep getting stronger, though.