Picking up every bullet by hand and setting each in a hole base down, is the slow part and you have to do that either way without a collator.
Once you have a collator, you feed the feeder via a spring and no tubes are in the way.
Not to mention, for that turret full of bullets, fitting is probably less of an issue than riding up and down with the tool head while loading. The 1050 is a different animal than others, in that respect.
There is some trickery that could be done, like the telescoping feed tubs I used on my load master with another switch (orange sensor on tube) to start and stop flow as needed.
Ram up
vs down.
Still think a spring feed would be easiest. Do you have the ability to make another case collator mount? If so, you could move the case collator off its post and clock it, so its out of the way, might end up needing a very long case feed tube but I don't think that would hurt. A quick glance and the factory collator mount is ~9:30 from the tube, if you set it on a 1" post you put at 7:30, there would be nothing over your tubes, for example.
Kind of like how I mounted my bullet collators but you'd want to go the other way to have room above the tool head.
This is what my bullet collators look like and how they get bullets to the feeder, on two of my 1050's. The MRBF ones hang off the plastic collator itself.