Man, you are talking about playing through a goddamn tube monster. You are losing so much tone by playing that thing at a low level. A dual rectifier sounds its best when you're pushing your tubes. It's just the nature of how tubes color tone, rectifiers, especially.
As much as it sucks to hear, that simply isn't a "bedroom" or even an "apartment" amp. If you're insistent on it being your main amp, there are still a few things you can do to go about it:
1: A stand will help the sound not immediately hit the floor, which, if you're not on a bottom apartment, will help. However, you may just want to find an apartment on the first floor so you don't have to worry about it.
2: If you can, pick a room and cover the walls with U-Haul moving blankets. Those things are thick and huge so they will take up a very large space. It won't take a lot of them to completely cover the walls. If you want to, you could also go a step further and put some sound-absorbing foam on the walls as well. The guitar is a midrange instrument, so those blankets will cut most of the highs and mids that like to travel. It's the bass that goes through the walls and is what you have to worry about bothering your neighbors. The guitar doesn't have a lot of it, and what it does have can be treated, even if the dual rectifier tends to be big on the low end. Another thing you can do is get a power attenuator so you can get that fat tube tone at lower volumes.
3. I've never heard of the Universal Audio Ox. I just did some quick research, and it looks like it has a built-in attenuator, which is cool, but I guess I don't see the purpose of it since your sound is going direct into your interface. In theory, it shouldn't matter if you crank it at that point, since the sound is being handled and processed through the interface to the computer. It looks like it models speakers/cabs, but not a whole lot (judging by the reviews), and it looks like it doesn't allow for custom IRs, which is a huge deal-breaker, imo.
I'd honestly recommend at least
trying the Line 6 Helix Native plugin. For direct recording, it's hard to beat, and the tones are beautiful. I think it retails for $400, but every once in a while Line 6 does a special, and you can get it cheaper (I think a couple months ago I was able to grab it for $280). But it has a ton of amps, cabs, effects, all of which are constantly being updated and added to, for free. It also allows for custom IRs, which made it a no-brainer for me. Check out the video:
Also, you can try it absolutely free for 14 days, so why not?:
https://shop.line6.com/software/plug-ins/helix-native.html
I use mine in Reaper which cost me $60, and I plug into a Behringer U-Phoria UMC404D which was only around $100.
Don't get me wrong, I understand the desire to play through an actual amp. I have the multi-watt Dual Rectifier and I play it through the 2x12 reco cab and it's amazing. When I play live, it's my go-to setup (with an Orange 4x12). When I sit down to practice/write, it's 50/50 whether or not I use the Helix plugin or the recto setup (or my EVH III setup). Fortunately, I have a studio in my backyard that is setup for this sort of thing, and no neighbors. I remember the "lean" days when I had to swing a shitty pocket pod in my apartment. I think I even created a thread where I uploaded a video of me blasting my guitar to my upstairs neighbors because they listened to that bass-heavy mariachi shit.
I digress. But there's my take. I work in a music store and also as a session musician for a studio located right next to our store. I've ordered all of their stuff and listened to every detail of how they went about setting their rooms up.