Don't be afraid brother, you have heard right that you can pray after sprinkling water, on your pants/shalwar or whatever you wear. And keep praying for your health. We also pray to Allah that he give you complete health. And if you think the drops are getting more and more than consider having some under garment, some special undergarment for this, with advice of a doctor.
Faatimah bint Abi Hubaysh came to the Prophet (peace and blessings of
Allaah be upon him) and said: “O Messenger of Allaah, I am a woman who
suffers from constant non-menstrual bleeding (istihaadah), and I never
become pure. Should I give up prayer?” The Messenger of Allaah (peace
and blessings of Allaah be upon him) said, “No, rather that is from a
vein, and it is not menstruation. When your regular time of
menstruation comes, then stop praying, and when that time is over,
then wash the blood off yourself and pray, then do wudoo’ for every
prayer until that time comes.” Bukhaari, 226 - Muslim, 333
So, one wudoo for each prayer is sufficient for you.
“and has not laid upon you in religion any hardship”
Last thing you mentioned, it is more like a saying of someone. And it makes sense, if someone is getting distanced from Allah because of any reason, that's not good, and that can be a punishment, or a test. It's not necessarily azaab.
Let me quote a beautiful hadees here,
The Prophet (sallallahu alayhi wasallam) said, “Amazing is the affair
of the believer, verily all of his affair is good and this is not for
no one except the believer. If something of good/happiness befalls him
he is grateful and that is good for him. If something of harm befalls
him he is patient and that is good for him” (Saheeh Muslim #2999)
So, it's not necessary that it's azaab, hardships and diseases are part of life, it's normal, just be patient and keep praying.
Allah knows best