Oh my, yes you do sound confused. "Mid Length" often refers to the length of the gas system not the barrel.
When talking about AR barrels, I've never heard anyone refer to their length in the form of a class.
You have 3 basic Gas system lengths. Carbine, Mid, and Rifle. I'm going to generalize their measurements based on how they are recognized by their matching handguard. Carbine is 6", Mid is 9", Rifle is 12". This actual distance of the port from the chamber is diff', those are the rough numbers people often go by.
Based on that understanding of the terminology, No, you can't use a rifle length system on a 16" Mid-Length barrel, as Mid Length most like refers to the gas systems. You can however get 16" Rifle barrels, but they are less common. 16" Carbine barrels are very common.
You have to get the gas system that matches the barrel, which is usually listed in the barrels specs, eg: "16" Mid-Length" is a 16" barrel with a mid length gas system.
They are all basically the same except for the length of the gas tube. The gas block on one end, and the BCG on the other end are identical, no matter what barrel/gas system you get.
One does not simply enlarge a gas port. I've heard of it being done but it's rare. The manufacture has already sized it to it's optimal diameter, and believe me, it's allowing plenty of gas to pass as it is. You can get adjustable gas block if you want to throttle down, or just a heavier buffer to resist the force. Those are the 2 most common ways to fine tune your rifle past the selection of your barrel.
You biggest consideration at first, is your barrel length to gas length ratio. There are design specs that dictate the ideal ratio, but they've gotten wild over the years and it can cause problems when you build your own.
The ideal ratios are based on, 20" Rifle, 14.5" carbine, and 16" to 18" mid. Any barrel that is longer or shorter then that with a given gas system is either under gassed of over gassed respectively. For instance, a 16" Carbine is aggressively over gassed and inefficient, and a 10" carbine is grossly under gassed.
Ironically, but those configs usually require the use of a much heavier buffer to time them properly. The 16" to resist the extra pressure and slow down the bolt for smoother, less aggressive cycling, and the 10" to increase the dwell time so the pressure can build up enough to fully cycle the bolt.
To understand how this works, once the bullet passes the gas port, pressure is sent back to cycle the bolt, the longer the bullet has to travel past the gas port, the more time the pressure has to work it's way back to the bolt. Once the bullet leaves, the pressure is relieved. This is where timing comes in to play. Too much extra barrel, to much extra pressure, not much extra barrel, too little pressure.
You don't want to Bolt moving to pull the round out before the pressure is relieved, and you don't want it to either, to later after the pressure is relieved.
While the bullet is in the barrel and the powder is burning, the pressure keeps the round sealed in the chamber. If the bolt starts to work before the bullet has left, the round is still stuck in the chamber, and the bolt won't be able to extract it, or will be very difficult and damaging. This is a common failure on Carbines with too light a buffer using too long a barrel with too short a gas system. The round might get stuck in the chamber where the extractor jumped off the rim, and it can also be hard on the extractor and bolt lugs.
Visa versa, in the case of a short barrel, the bolt starts moving well after the bullet has left, and there is not enough pressure left in the system to fully cycle the bolt back and the rifle short stokes.
This is the reason you see a lot of different "Heavy Buffers" on the market. Unless you are using a 14" barrel with the carbine system then the standard 3oz buffer just doesn't cut it.
I do not recommend 16" Carbine barrels. They are a basterd config that was devised for the US civilian market as their "non-restricted" minimum barrel length is 16". Later on in AR development, the Mid system was introduced to improve on the AR system using a 16" barrel.
I'm not an expert, well, compared to some people, so some other members might chime in to add to, or contest this post. But that's gas systems in a nutshell as I understand them, and in a way that makes sense without getting too complicated.
There are also 2 common buffer system lengths but that's another story.
In short, don't worry about the Gas port size. Pick what barrel length you think you want, and go from there fine tuning it with buffer weights.