Hi, Michael,
I walked Levante in 2015 apart from Toledo-Avila stretch (due to extreme heat and lots of other technical problems) and didn't find it short on accommodation. Here is the list of my stages with distance but you can cut them down for 5-10% as they were measured with Endomondo. Last year I was using Endomondo AND Wikiloc and later is much more accurate. It's a wild guess but I believe up to 10% is a mistake. So here it goes:
01: Silla, 26,4km (from the beach in Valencia, approx.3km to Cathedral), pension, 20€,
02: Algemesi, 26,95km, albergue, don€,
03: Manuel, 26km (had an info about possible overnight stay in polideportivo but that changed and I've slept at disused train station because there's a supermercado in the town and the weather was nice and warm), 0€
04: Xativa, 11,25km (short one due to rain), Albergue Juvenil "El Cigroner" (reported much nicer than the other one and I was the only guest), 19€,
05: Moixent, 32,05km, albergue muni, don€,
06: La Font de la Figuera, 22,7km, albergue muni (very basic), free€,
07: Almansa, 32,05km, albergue in Convento, 7€,
08: Alpera (on Camino de la Lana, short detour), 25,65km, albergue muni, 7€,
09: Higueruela, 26,55km, albergue muni, free€,
10: Hoya Gonzalo, 14,3km (short one because of the next day and also 5star albergue with public pool across the street), albergue muni, 10€,
11: Chinchilla de Monte Aragon, 20km, Hostal "El Penon", 15€,
12: Albacete, 21,4km, Pension "Victoria", 22€ (pilgrim discount),
13: La Gineta, 29km (with some zig-zaging
), polideportivo, free€,
14: La Roda, 20,75km, albergue muni (not to be missed, it's in bull-fighting arena), don€,
15: San Clemente, 39,15km, albergue muni, free€,
16: Las Pedroneras, 27,5m, Casa Mauricio, 20€,
17: Mota del Cuervo, 22km, Hostal "Plaza", 26€,
18: La Puebla de Almoradiel, 34km, albergue parrochial (a classroom actually but with shower), free€,
19: Villacanas, 22,7km, Hotel "Europa", 30€ (pilgrim price in cash!!!),
20: Tembleque, 20km (estimated because I ran out of the battery and GPS stopped few kms before the town), Hotel "A Posada", 30€ (reccomended),
21: Mora, 20+kms (similar problems as the day before), Hostal "El Toledano", 17€,
22: Almonacid del Toledo, 13,85km, changing room by the public pool, free€,
23: Toledo, 23,7km, albergue "Los Pascuales" (in the center), 14€,
24: Avila, albergue muni, don€,
25: Gotarrendura, 25,2km, albergue muni, don€,
26: Arevalo, 32,65km, polideportivo, free€,
27: San Vicente del Palacio, 25km, classroom, free€,
28: Medina del Campo, 23,95km, albergue parrochial, 10€,
29: Siete Iglesias de trabancos, 28,6km, changing room in cultural center (with showers & small kitchen), 3€,
30: Castronuno, 10,7km, albergue muni, 5€,
31: Toro, approx.25,4km, albergue parrochial, don€,
32: Villalazan, 19,8km, albergue muni in classroom (with showers), free€,
33: Zamora, 18,8km, albergue muni, don€.
I continued on Sanabres to SdC. If you need any more or specific info just fire away.
Ultreia!