If you take Asturias out of the picture, most would look towards France as being their best chance against the Muslims, ensuring indefinite French control over at least the marches.
1) You then first need Asturias to be butterflied away (Knowing if Asturias is depicted by christian historiography can be at least considered as partially accurate being another debate). That's not gonna be easy. See, Arabs usually preferred settle and rule directly wealthy, river or plain lands letting Berbers to the plateaux and letting to a de facto autonomy to Christians living in highlands or north of Pyrénées.
There's the likely case of Ardo in Gothia (aka known as Gaul for Goths), that ruled the remaining of Visigothic Kingdom in accordance (and maybe support) of Arabs walis.
That's most probably what happened for Asturias or will happen ITTL if we consider the highlands weren't conquered IOTL : in that, both Christian and Muslim historiography agree, the latter insisting the conquest wasn't worth it.
So, you will need : a motivation for a long (highlands) and not really motivated campaign (no great loot, not comparable by far to what could be taken in Gaul; and some guys raiding poor lands wasn't that of a threat), and to control the region long enough to make it part of arabo-andalusian continuum.
Something that would be certainly more costly than the control by proxy, Arabo-Andalusian favoured.
Alas, details such as endemic civil war after the 730's, not to forget the Berber Revolt would likely prevent that. I'm doubtful Arab and "loyal" Berbers would be enough to deal with, regarding their other urges.
Let's assume that Galicia-Cantabria line is purged of any kind of base allowing the developpment of an Asturias-equivalent by the grace of ASB. It would eventually gave more room to Basque principalities or kingdoms (Banu Qasi would likely favour them in order to break Carolingian surroundings) that unlike Papmpelune or Navarre kingdoms, wouldn't see their expension limited by Leon/Castille and Aragon.
That said.
2) IOTL, the counts of Barcelona did ask Late Carolingian and Capetians for help against Muslims. They didn't recieved, as there was no real way to send them reinforcement (lucky if they could meddle with matters in Aquitaine).
Barcelona didn't disnounced their vassalage because they found a side more likely to help them, but because Frankish kings send them nothing (something that, if something, isn't going to go better ITTL).