I am sad that you feel after one short try that it would be too hard. People vary wildly in terms of how long it takes to learn the physical skill, but you already understand that rhythm is crucial, and you like the sound, so you're ahead of the game compared to some people. It's not a physical skill like anything most people have experienced, so everyone starts from scratch. The people in a band in a teaching tower all remember the struggles involved, and expect that. It's a musical instrument of a sort, but it doesn't do to imagine the possible irritation of members of a string quartet rehearsal if someone who has never played a violin shows up, expecting to be taught. There are towers in the world (like St Paul's, London) that are only open to invited high-end ringers, but most local towers expect to spend months training newbies.
Knowing oneself is always useful, though. I will say that after 36 years, I'm still not ringing up to my hoped-for level of precision, but I'm working on it... Setting yourself up for frustration might not be a good thing, but we'd love to have you try, if you want.

If you like overtones, you should come to Old North. Modern (since late Victorian times?) change ringing bells have had the overtones tuned by turning on a lathe (I'm over-simplifying). Many can be very nice, but some of the randomness is gone. The Old North bells (cast by Abel Rudhall in Gloucester England in 1744) are the old style, and in his particular case, he was extraordinarily good at getting a wonderful sound by careful shaping of the bell as it was cast. There are some old style bells that sound yucky, but I think (not entirely objectively) that the bells at ON are the nicest in the world (having admittedly only heard bells at fewer than two hundred towers).