This is a great guide, just wanted to update this thread with my results. Needless to say I'm very pleased with my service!
Service works great on stock Lollipop OC5, with one little tiff: I thought I was having MMS issues because Emojis would send but Pictures wouldn't..turns out, with the Wifi ON the messages wouldn't send. Turn it off, and several seconds later I'd see the sent confirmation. Bizarre, but looking into it looks like it's an issue with the ROM.
Have been able to upgrade to 5.1.1 (using Resurrection Remix) and the baseband stuck, remembered the settings and was connected on the first bootup. Marshmallow.. I couldn't figure it out, just kept boot looping at "Kernel not seandroid". Not too interested in pursuing it, honestly.
Using AryaMod ROM right now, and so far I think it's my favorite. Technically it's meant for 9005 but coming from a clean Sprint OC5 flash I've had no issues. In fact, I've gotten access to LTE for the first time on this Rom - tested the speeds and turns out it was around 8 mbps down, very exciting to see that!
It looks like people have moved on from the Note 3 and this thread, but I wanted to update people with my recent experience as this has opened up a whole world to me. If anyone is thinking about doing this, I say go for it.