Is it possible to increase the probability of finding blocks in solo mining mode?
yes and that power is mostly in your hands. Either the miner has to become more efficient (which at this point would be negligible) allowing more hash per gpu or you can simply buy more graphics cards increasing your chances of block per second(hash). Solo mining needs a ton of hash to be regular on payouts or you need to be extremely lucky. eventually, you will hit one! what i would do is setup test wallet which will have a low diff. mine testnet coins to make sure your setup for solo is correct. then move to the legit wallet and wait for the payday
Good Luck