I haven't played mono Skeelz seriously since Dr Falkenstein came out, before that Skeelz were about my 3rd most used clan in ELO. I know Falk is a great addition, but I simply can't build a deck anymore. My previous deck was: Michael, Greem, Chiara, Sandro, Snowflake, Praxie/Lorna (depending on the week), Redra, Sasha. Standard stuff. But now I don't know if I should run Greem or Falk, running both is difficult because a reasonable 5/4/4 deck is out of the question with only two solid 2* cards and a plethora of good 3* (Plunk is a staple, imo). 4/4/4 is difficult because Jay, Corvus, Manfred etc. pretty much suck. 5/4 is what I used to play, with great success, but my OCD makes me think I'm not using it to the fullest without including Falk, or without including Greem.
The problem with mono Skeelz, although it's my favorite clan, is that it completely lacks damage and life gap beyond Michael and Greem. Which usually forces you to win three of four rounds or be very opportunistic.
You have three options.
Michael/Greem/Dr. Falkenstein/Plunk/Chiara Cr/Sasha/Redra/Belle
Belle isn't great, but she's usable. Greem and Michael provide great life gap and there's great utility in the rest of the deck. Like I said though, lacking in life gap beyond those two cards.
Greem/Dr. Falkenstein/Belgosi/Plunk/Chiara Cr/Sandro/Sasha/Redra
Belgosi is a great and underrated card. Bit worse then Dr. Falkenstein but not by much. Very easy to win a round with and has the same base stats as Dr. Falkenstein so I have to disagree with you not thinking he's usable.
Michael/Greem or Dr. Falkenstein/Plunk/Sandro/Chiara Cr/Snowflake/Sasha/Redra
Slightly different then the first one, but you lose the only mediocre card in Belle and upgrade to Sandro/Snowflake, but on the flip-side you lose much needed damage and attack manipulation in Dr. Falkenstein down to Sandro/Snowflake.
I'd go with the first option. Belle's risky, but aside from that you can't get a better deck with mono Skeelz in ELO then that. It's worth mentioning that Corvus is usable and great in the right hands that can make good predictions, but you have to be really skilled with pill manipulation to use him effectively.
If you don't like Michael, perhaps you find him too predictable to beat, then Minerva is an amazing wall, and you don't need to KO to win so the lack of damage isn't an issue.
Class is cancelled&list
My favourite deck. Eloxia is a. Ofte. Overlooked card. Her defeat ability has won me many rounds; 7 damage is a lot, your opp will very often waste a good few pills to cover her.
Michael. No need for bella if you don't need her, this one is extremely balanced with nice utility and decent damage.
There are plenty of options, but these are my three favourites.
For mono-Skeelz, 54333322 is my favorite way to go. Greem is the deep threat, but I feel like 7 unaided power doesn't cut it in the modern meta. That leaves Dr Falkenstein as the go-to 4*. Michael is my favorite 5*, but Minerva is one of the best control cards in the game and is perfectly useable as well. 2*s are Sasha and Redra, 3*s are Chiara, Sandro, Snowflake, and Plunk. Lorna used to be in Plunk's spot, and was always a fun card to draw against Roots/GHEIST. Well, more than the average Skeelz, anyway :p