First, there is no reason to be discouraged. Looking at your roster I am assuming that you are new to the game. Since you don't have UDK I'm guessing that your account is less than 4 months old (correct me if I'm wrong). The fact that you are hitting Doom Tower 90 already is decent progress.
There are going to be several points in the game where you will encounter content that you will not have the Champions or gear to complete a specific challenge. Those challenges are placed there as "gear check" or "champion check points" designed to be a roadblock until you advance further in other areas in the game.
This game is extremely dependent on having the right champions to clear specific content. I've found it best to just accept that my account is not currently advanced enough to complete the content I am attempting so I put that stage on hold until later.
I also hit this same "roadblock" a few months ago. Nothing I did was working to get me past Doom Tower Nether Spider. Once I completed the fusion for Staltus, due to his passive (reflect all poisons), this boss is no longer an issue (Staltus can literally solo this boss.)
A month ago, I was struggling to even 3 key Brutal CB. I lucked up and pulled Acrizia during the Pythion fusion and now I am easily 1 keying Nightmare. It is amazing what a single champion will do for
your account.
Just be patient. The champions will come.