If you're comfortable hitting a 3/4 44* so it goes around 100 yards, then I would go with a hybrid/iron. But consider this; if you were on a par 5 or even if you found yourself in trouble (such as in trees or in a bad lie) and had to lay up to 95 yards (or whatever yardage you can hit your new wedge with a full swing), your game management would likely improve. Getting an additional wedge that assists in the 'scoring zone' benefits your game management more than a 5 iron would. And that may be a great tool for you to have at your age because it will help you learn that reaching greens from a long ways away doesn't mean anything if you can't hit a green from 100 yards and in 

If you're not going to get both, work on distances by choking down on the 44 and the 7W to fill the distance gap.  I'd be more inclined to choke down an inch on the 44 than an inch or more on the 7W, but that's my personal preference.

My preference would be a 24 hybrid (adj. from 23.25 to 25.5 degrees) to fill the upper gap, and start with a 48 wedge, and based on a distance gapping, get your best option.   A 4 or 5 iron is not adjustable based on course conditions.  In the end, it is how you need to fill gaps based on your most typical course conditions you play on for your best course management.

I had the same dilemma - my 7 wood went 180 yards and my 6H 160 and my main issue was that a 5H offered little distance gain and I had a hard time with the 4H. Also tried close gapping the wedges and that led to too much confusion, under-use of certain clubs and so on.  I recently dropped the AP1 PW in favor of an SM4 48-06 bent to 47.  My SW is 54-11 bent to 53.  LW and XW are 58-06 and 64-07.  I have a 25H that goes 165-170.  I have a 31* hybrid that goes 150-155 or a 6-27 hybrid that goes 155-160 (it is a bit of a tradeoff since the former is more accurate but the latter has a better feel; I can hit a bad shot with the 31 and it won't stray too far). 

Option A is to get a 48 and then work on a choke shot with the 7 wood for 165.  I used to carry a 7 wood and 27 hybrid and tried for ages to hit a 22 hybrid but ended up hitting a choke shot with a 7 wood.  Don't have that issue now because I have a 25 hybrid that goes about 165-170.

Option B would be to replace the 6 iron with a 27 hybrid and get a 48.   It is much easier to work a 27 hybrid than a 7 wood.  You would choke down 1/2" to hit a 6 iron shot with the 27. This would be a nice option.

Option C is to get the 5 iron and learn choke shots on the 44*.  I had a do it yourself set of irons between 2009-2011 and it had no gap wedge so I got pretty proficient at working a PW (my  47 PW was 110 and my 55 SW was 85).   One of your skill sets in golf should be distance control with wedges. My personal opinion is that 4* wedge spacing is overkill.   20 yards between wedges is not unmanageable. 

Option D is to get the 5 iron and replace the 44 with a Vokey 46.  You would lose about 5 or 10 yards with the 46. This would give you the best of both worlds. 

Here is a nice rule of thumb - for every 1/2" you choke down on a full swing, you cut distance by 10 yards (applies to full golf shots and full pitches).   If you hit a PW 110, you pitch  about 75-80.    Your 100 yard full swing is halfway down the handle (that is about 1/2" choke) and your 90 yard shot is all the way down the handle (1" choke).    As an option, you could pitch a 9 iron at 90 yards.  For half swings, for every 1/2" choke, subtract 5 yards and for 1/4 swings it is 2.5 - you can really dial your distance in from 50 yards and less.