With two Bitaxe gamma miners back in June, I was earning approximately 120 satoshis daily through Braiins LN.

Recently, I switched to parasite.space as per the pool rule. The miner who successfully mines a block receives a reward of 1 Bitcoin, while the remaining amount is distributed among the miners. 

Although the chances of hitting are extremely low, the additional incentive motivates me to take the risk and still earn a reward if a block is found. However, the pool has yet to find a block. The pool is new and it just launched this year

You can choose whichever pool you like. Braiins and Ocean both have LN payouts (Ocean is more difficult to set up as it requires Bolt12). The payouts aren't big so I think it's better to solo mine (Datum, Public-pool or CK-pool).

Thanks, both of them are pool based solutions with some consistent payout? Or solo mining lottery tickets? 

spiderman

bitcoin_beginners

Best Miner for Home

Start with a Bitaxe or Nerdaxe IMO. The electricity use is negligible and you'll get a better idea about mining and mining pools. 