You're right, new is not bad but I just don't think that the BSPs weren't really needed. To me it totally degraded the original concept of the Predator, and the whole Preserve Planet thing just made the idea of going to other worlds to hunt very redundant. Simply put, I just didn't like the last movie because I disagreed with many of the concepts they introduced and felt as if they weren't simply needed.
You know, Master, I actually LIKE talking to you. Wanna know why? Cause you're not elitist and you don't try to slam down people for differing opinions.
But anyway, I understand what you're saying. PREDATORS was a homage fest. I'm not going to lie, nor am I going to sugar coat my experience from watching the movie. It was a homage fest. Plain and simple. From the dialogue lines, to the environment and even to the Classic Predator who was admittedly, a bone thrown to the fans.
While I understand you want a continuation of the continuity, there is where I disagree. I think a straight up reboot/new continuity/AU would be good.
Where I do agree with you is that yes, bring in a member of the original Predator species, do what P2 did, put it in the desert on Earth... Or set it far ahead into the future and put it on a space station. Or put it in an under ocean facility.
As for an AvP film... well, I welcome the idea of what happened to the Antarctic Queen. Either she had been crushed by the oceanic abysmal pressure, or she might be frozen once again. So many possibilities there. If you want to restore the AvP idea... here is what you do... Salvage AvP, retcon AvP-R (I liked the film, but it's flawed and to satisfy everyone, why not retcon it?) and replace it with a story involving the Antarctic Queen somehow being found hundreds of years later.