I don't find the AI cheats - I think we've just become so used to being able to get on the tail of an AI ship and stay there for the entire fight, even in larger, less manouevrable ships, that that has become an expectation for some people.
When you say out-turned, do you mean the Anaconda was always able to shoot at you and you were never able to shoot back?
Yes. Not 100% of the fight, but if I had not been making heavy use of lateral thrusters and chaff, I would have been toast.
I don't agree that AI pre-2.1 was such a pushover, nor that I was able to just stay in a blind spot as much as I please, but I digress. The new AI, at least without Engineer buffs, feels in a good spot to me...most of of the time.
(Which means it's much more time consuming to defeat this AI, with no increase at all to rewards, but that's a different issue.)
I don't quite see a Python as a "big" ship - I see it as a "medium" ship. It's not even that much larger than the Vulture, for instance.
I'm not asking for the ability to stay on an Anaconda's tail all day; I *am* saying the Python oughta be able to at least keep up with an NPC Anaconda without me having to be the most elite HOTAS-equipped virtual ace jockey of the galaxy.
As for pip management, I use keyboard and mouse, and I have three buttons on my mouse that I use for pips (balance pips is on the keyboard, but I don't use it much). Vertical and lateral thrusters are on keyboard, using the old FPS controls for jump for upwards vertical thrust, crouch for downwards vertical thrust, and the old lean keys for lateral thrust. I don't really ever find I don't have enough fingers to do things.
All the buttons on my mouse are used, scroll wheel and all, so I don't have that option; and given all the other keybinds necessary for the game, using keys adjecant to the WASD area is not possible - I've had to leave it bound to the arrow keys.
As a left-handed player, it's rather uncomfortable. Managing pips on the fly, moment by moment, is not possible for me - I have to juggle, sometimes little bits at a time. Bottom line is that max-performance-all-the-time precision is not happening for me.
The real issue here is why don't you buy a joystick? Presumably you're here for the 10 year plan and will be buying each season so it would be ridiculous if you couldn't shell out £40 for a joystick of even a game pad controller.
If you are so fortunately endowed, shall I make a GoFundMe page and let you throw your money at me?

Personally I'd like to continue this discussion without shrugging off any & all players with no means to obtain virtual cockpits.
I do have a gamepad, but I'm not particularly fond of it, as it requires two hands and restricts the ability to reach the keyboard.
I like being able to aim with a mouse and access the rest of the game controls - I don't like feeling that I need a third arm & hand in order to keep an edge in combat.
I've played other combat games of all sorts, and the only game prior to Elite that came close in terms of control complexity was Mechwarrior Online. The addition of the pip system to Elite really complicates things.
But, that's fine...so long as the game is forgiving of my human reaction speeds.
Right now, it seems like to fly the Python successfully, I must either joust, go Turret-mode, or be able to manage 3 different sets of controls all at once with utmost precision...which are things I would expect if I were in a large, bulky, unmaneuverable beast. The Python doesn't seem like it should be that way.
Yet all it would take to ease the burden to an acceptable level, is to get back a smidgen of its nerfed pitch rate.
At this point, I feel like I'm starting to lose focus and ramble - I really should sleep at some point - and hopefully I've made my view & point in an understandable, reasonable manner. I won't be holding any grudges if it doesn't instantly cause a change based on my sole feedback, but I do hope it contributes to an overall picture of what's going on for both Frontier & the community.
edit: Okay, there's a video now, ninjaposting ftw. I can rest less agitatedly.
edit2: Pfft. HMD, throttles, pedals, *and* you just used an all-missile loadout. My Type-9 loadout used to be 3 pulse turrets and missiles, quite effective for ships that can't maneuver as well (and is the loadout I will resort to if my new beam/MC setup fails me on my Python) - but that doesn't "count" as "out-turning an FDL" in my book.

ok, really off to bed now