Nice thoughts.
One quibble, and a long one, so it seems like I'm being critical but I'm really just sharing: Don't draft a kicker unless you're so positive he'll be gone in the draft that you absolutely must use the pick on him. Kickers (not punters) are not only streaky, they're notoriously hard to project at the next level. And the scouting of them is terrible. What flies at previous levels doesn't translate to the pros, which makes it tough. The game is different. It used to be the hashes were different, and that changed the task immensely. It was like a different game once you hit the pros. Now it's that the guys are so big that they affect kicks in so many ways that the collegiate guys and their schemes really don't. So the truly great ones generally have come out of nowhere, really. Well, not nowhere, but they develop much differently than other college players.
Usually, collegiate accomplishment means nothing. It's the guys that truly have the leg drive, instant lift from impact, kickoff hang time, and accuracy (four differing skills) that can do it at the pro level, and those guys that can do it all are few and far between. The best way to procure a kicker is to really scour the amateur and failed professional ranks to find a guy whose game translates or has improved. The last great and universally hailed college kicker from a big program that was great in the pros was Janikowski. I know I'm dating myself, but if you look at kickers, I think you'll still find them often undrafted, often from smaller college programs that the scouts aren't watching. You need to bring guys in, have them practice for you, and then see if the proof is in the pudding. But the way big program collegiate special teams are run gives you barely an inkling about their pro prospects unless the kid's got an undeniably huge leg, like Tyler Bass of Buffalo.
TL;DR I'm a former kicker here who has been part way through the system as a walk-on and knows college head coaches know very little about special teams or kickers, and has also observed that what they think they do know is usually wrong. Don't waste the pick, even the seventh-rounder, on a kicker. Because usually that allows teams to think they've done their diligence, when they really haven't. Paying attention to everything and everyone in the kicking ranks (you know from the various camps they go to, the professional auditions they've had) and then paying the darn guy a little bit brings you much closer to having a good kicker than collegiate accomplishments and draft capital spent.