I really want to check out Valencia.
From my 2 days there in May, I thought Valencia would be a great place to live.
Consider walking the Camino Requena from Valencia. After 9 days or so, It joins the Lana at Monteagudo de las Salinas. One reason I suggest the Requena is that the first 100 km or so are well connected to Valencia with the Cercanías train. The towns along the way are quite pleasant and might interest you, as well.
I walked the Requena in May 2023, in 9 days, staying in a combination of muni albergues and private hostales. The hostal in Cheste is closed in Sundays, and there is no reliable accommodation in Siete Aguas, but it was very easy to take the train to Buñol or Requena and then back to my starting point to walk the next day. I enjoyed the route.
You could spend a few days in Valencia, walk the Requena to Monteagudo (9 days), then walk 2 more days to Cuenca, talk to hospitalero Luis, and decide whether to continue the Lana or do something else. You said you "like infrastructure" so I'm not sure what you are thinking - parts of the Lana after Cuenca are somewhat short on pilgrim infrastructure.
any of the Mozarabe variants (from Malaga or Almeria or Jaen)
I agree. The Amigos in Almeria provide excellent "infrastructure" particularly for the portion from Almeria to Granada.