Bluecoat, for what it's worth, I generally try to get the eye of my scopes in line with the charging handle, or forward of it. Eye relief in scopes varies, but I try to get it so that my nose will be as close to the charging handle when I sight scoped rifle, as it is when I'm looking through the iron sights...I'm trying to achieve "muscle memory", or the same feeling no matter which one I'm shooting.
The problem for me is the opposite of what you're having...I'd like to mount some of mine further forward, not back. I don't think any of my scopes have optimal eye relief at only 2"...it's much closer to 3 to 4", or at least it feels that way.
Since this is your first AR, you might be a little reluctant to get your face and nose in there real tight...but after a while, it will feel natural to you..and that will more than likely solve your eye relief problems.
You might shoot it a bit with just the iron sights...on my 20" HBAR, which barely kicks at all, I put my nose ON the charging handle. On the 16" guns, that kick a little more, I back off about an inch...but no more than that.
Check your position when you shoot it with the iron sights...if you're any further back than 2" from the charging handle, you might try moving up some, and see how you do.
I wouldn't really worry about swapping any thing out right now...you say in the first sentence you love the rifle, so don't be in a hurry to change it...work with it a little, and see how it does. Also, see if anyone you know has a spare scope you can borrow, and see if that improves it any.
Scopes mounted on the carry handle DO cause some problems...without knowing the overall length of the one you have, it's probably around 11" or so...that can make for awkward sighting on the carry handle. A shorter scope that allows you to move forward with your face on the stock may be the answer.