I searched for "Turban 140" and all I get is advertisements for Veer's headgear! (Turns out I've looked these up before, they're nice but I've never seen 'em sold here. It looks a lot like the AmmoMaster FWIW.)
I load for .50BMG. I load for an M2 so I do it in bulk. I use a Dillon BFR and I couldn't imagine doing it any other way. It's SOLID and well made. Even if you don't have 10,000 cases to load like me, you can still take advantage of the press. It'll crank out prepped brass 10x faster (due to the auto trimmer) and crank out loaded ammo 4x faster at least (simply because it'll do four operations at once). Given the difference in price, I'd get the BFR. But if you're only gonna be loading ten, twenty rounds at a time, you may as well just go with the Ammomaster and save the money I guess, and it can be used for smaller cartridges too. But you'll likely have to reinforce your bench or buy their stand because it's about 100lbs. and generates a shit ton of force. Even with that press, sizing large brass still takes work. Make sure you have Imperial wax or lanolin/alcohol (I sell an 8:1 mixture that's a bit stronger than the norm and I sell 16oz. same price as Dillon sells 8oz., just PM me).
Be sure to call Dillon and tell them what you plan on loading on it. I think .416 uses all the same shit as .50 except dies but it's worth a call. They said they're gonna make it adaptable to .375, .408, etc., but I don't know how far along they are on that. Or if it's a custom request.
If you plan on swaging any BMG brass and cutting it to .416, I imagine doing that on the BFR with the auto trimmer would be the quickest way. That auto trimmer is just the shit. I use one on the 650 for smaller cases. Trims and chamfers inside and out and leaves no burr. With .416, if Dillon doesn't make a trim die, you may have to call around to other tool and die shops to see if someone else can. CH4D is one that can do it, but I highly recommend you steer clear of them. It's a pretty simple part though, so shouldn't be hard to get.
With the BFR, you can do four operations at once. If you buy a second toolhead, you can keep the dies in there and only have to set 'em up once. I use a separate decapper prior to wet tumbling, then use a sizing die and the auto-trimmer (BIG time saver!) and it's done. I swage the pockets on another tool I have on a rock chucker (those little presses are invaluable for stuff like that or pulling bullets, what have you). For loading, the toolhead will have a priming die, powder dispenser, seating die and finally the Lee crimp die. The Lee crimp die works great. The powder dispenser is pretty accurate with fine powder as usual, but Dillon doesn't make one for it, it has an adapter that'll fit an oversize RCBS, or better IMO/E, the Hornady large volume dispenser. You can also mount the dispenser on the bench and use a digital scale and trickler if wanna go that route. For the rifle I do this, for the M2 I don't.
For dies, DO NOT GO TO CH4D!!! They have zero CS and do not honor their warranty. Very shady and if anything fucks up, it'll be your fault, and they'll go to the mat over $78. I don't think they expect repeat business. Currently having CC company investigate them for stealing $78 from CC without permission. I have a thread on it in the pit with the whole story. It's a shame, because they were willing to make damn near anything and had good prices.
For dies, I wish I'd just bought the Dillon carbide for $1k. It's expensive as hell but at least it would last and I trust Dillon's CS and warranty dept. They're on top of it. If M2 dies is still making dies, search for them. That guy makes custom dies for .50 and I'm sure he can do it for that caliber too. He'll need a fired case to cut your dies. They're costly too, not as much as the Dillon sizing die is but still. This is who I'd recommend if they can do it. I imagine he can do .416 as easily as .50.
Bottom line is get your dies from someone who is known in the business and has good CS and warranties. Like Forster, Redding, etc. M2 if they make 'em and you can afford 'em (DEFINITELY worth your trouble to look up and call).