On the off chance... mystery raptor in Andalusia

Good morning everyone from autumnal Switerland. As always, everything is changing here and we now have Hawfinches, Willow Tits, Goldcrests, and Crested Tits back in the garden. Recently, while in Andalusia, my partner and I spotted a raptor. I contacted the Spanish rarities committee and they can't confirm what we saw (which is just fine by us, of course). But I thought that someone here might like to hazard a guess? Here's the description I sent to the rarities committee (sorry if this is a long post...): My partner and I stayed at a friend’s house in Málaga province from September 17 to September 24. The house is situated on a promontory and overlooks a wide valley running approximately north–south down to Caleta (to the east of Torre del Mar) on the coast, and a shorter, steep sided valley running off it to the west (I can supply a map or point you to Google Maps if you wish). During the week, in terms of large birds, we spotted a Common Buzzard (Buteo buteo), Red Kites (Milvus milvus), Black Kites (Milvus migrans), Booted Eagles (Aquila pennata) (mainly pale morphs), Short-toed Eagles (Circaetus gallicus), Sparrowhawks (Accipiter nissus), White Storks (Ciconia ciconia), and one of what seemed to be a resident pair of Eurasian Eagle-Owls (Bubo bubo) (seen and heard). Almost every raptor we saw that was “on the move” west(ish) passed us on an east-south-easterly wind. So we could pretty much feel the wind, look at the sky, and within minutes (sometimes seconds) watch them arriving across the larger north–south valley. No east wind meant no raptors (except what appeared to be resident Common Kestrels). One evening, slightly after sunset, we had just been watching two White Storks fly over the house when—looking out to the south-west we saw two large raptors approaching against the sky. Our first impression was that these were large birds, and both showed very obvious “brooms” at the wing tip, which had us thinking they were eagles; wings were slightly raised while gliding. They both went into a flat(ish) glide over the smaller, east–west valley, one passing out of sight on the other side of the next promontory south, the second entering the valley allowing us to observe it against land rather than sky. For size comparison, we had previously viewed Short-toed Eagles, Booted Eagles, Black Kites, and the Eurasian Eagle-Owl in the same context. Viewing distance ca 900m, with Swarovski ELs (8x32 and 8.5x42, respectively). The bird landed slightly clumsily in a tall shrub/bush, stayed there for a few seconds, then took off and flew up the valley to the west, before apparently deciding that this was a dead end (the valley walls are steep). It then turned and flew backdown the valley to the east, rounding the promontory and moving off to the west, out of sight. Total viewing time ca 2.5 minutes. The bird had a decent wingspan of around 180cm; wings were broad (front to back). While perched, the bird appeared to sit upright and be predominantly milk-chocolate brown (which we took, given the light conditions to be, perhaps, slightly rufous… a rich brown, at least). In flight, we saw more of the upper parts of the bird than the under parts. Under the wings, pale splashes seen briefly. Upper parts: head and “shoulders” rich, milk-chocolate brown; trailing edge of the wing a wide black band; between, a distinct white line running right across the wing from the body and ending at the black primary feathers (we talked to each other during the sighting and noted that the upper parts were obviously tri-coloured); distinct “fingers” (uncounted); large tail predominantly dark (black?) with a noticeable white base. The impression of size was something we probably interpreted from the wing beats, as the bird probably wasn’t bigger than a Short-toed Eagle (a bird with which we are very familiar).