I might not have much advice here, but I just wanted to add that I'm in the exact same boat. You're not alone! A few things I've been trying to implement are:

1) Study imperfectly rather than not at all. E.g. Even if my goal is study for one hour today, if I only have 20 minutes, study for 20 minutes. Or even if I'm more tired than is ideal for studying, still do it/at least try. For me, the overwhelming thing is the actual act of booting up 7sage or opening a study book, but once I'm there, it's not so hard to continue. It's just hard to overcome that executive dysfunction for "only 20 minutes" of studying, but that's really just a mental construct. It actually takes like 1 minute to open 7sage or open to a chapter in a book. So I've just been trying to remind myself of that, so I can practice in smaller chunks if that's all I have. I'd rather study for 20 minutes than not at all.

2) Sometime this week, my plan is to take a realistic look at what my schedule is for each day and see which specific times of day I can put one-hour blocks of time. Abstractly thinking that I can squeeze in these one-hour blocks "somewhere today" has not been working for me. I don't know if your schedule is roughly the same every day, but mine is different from day to day and I've just had to accept that some days I might not have any time, some days I might have an hour block at 9am and another day I might have two one hour blocks at 10am and 5pm. I know it's hard to balance flexibility/realism and discipline, but I think both are needed in balance to create a realistic and successful plan for oneself. Once I find these one hour blocks (my goal is at least one one-hour block per day but ideally two), I'll try to treat them like absolutely set in stone appointments, like a doctor's appointment that you can't miss or you'll pay a cancellation fee.

3) Catch up on weekends. For me, weekends are where I get a lot of studying done because I'm not trying to juggle with my 9-5. One idea for juggling application prep and LSAT studying might be to only do application prep on the weekends, or only do application prep on certain days of the week so that it has a designated "container" and you're not worrying about it the other days of the week. I'm personally prioritizing studying right now, so I might designate only one weekday to application prep. Then more as it gets closer/I'm feeling more comfortable with my LSAT progress.

These are all just ideas. We're all figuring this out as we go, so again, you're not alone! You got this!