We went to Playa Blanca, Lanzarote in early April just gone and it was really nice. We stayed at the Rubicon Palace, which was about a 40 min walk into Playa Blanca along the promenade or <10 mins in a cab and about 6 euros….
We were lucky enough to be there on the weekend that they had a massive street carnival, which was fantastic.
We’ve also been to Hammamet in Tunisia late in the year (last week of October) and it was still warm enough to sit on the beach all day in just a pair of shorts.
Once out of the hotel it wasn’t that nice – we were a bit disappointed, but if all you want to do it sit by a pool & get some sun then it’s fine.
We were half board in a massive 4+* hotel which had about 5 pools, one indoors and it’s own stretch of beach and I think it only cost us £400 for two.
Calis beach in Turkey is also good, but I’m not sure whether it would be getting a bit cool or not by mid-october.