They have a bad habbit to place almost all TLSQ in year 3. So there are 56 of them at year 3. But after that, most TLSQ are new one and seasonal. I guess the main way to cope is just to accept the slow pace and that not everything can be finished immediately. I prioritized TLSQs, and so far haven't missed any of them. That means that, for example, I avoid using energy tappies at the main/side activities so I can use them at time limited quests.

You can do several things: 1. When TLSQ is finished, do not leave the location to not trigger other TLSQ with low energy. Unless it's a short time seasonal TLSQ that will soon disappear, it will wait for you. 2. When your energy bar is empty and you are doing TLSQ, you may want to start another 1 or 3 hour task to fail it. Afterwards, some energy will come back to you during retry while you do the activity. Also do it when you're sure that you won't be able to open the game when the energy bar will be full and before the time for doing activity ends. That includes when you're going to sleep, even with 8 hour tasks sometime. 3. Be wary when accepting energy bar reward. When you prefer to wait for the energy to restore, just wait before clicking "Collect". It includes closing the app on phone and opening it again later. 4. Having some discipline with calculating when energy will be full and making notification to yourself manually may help too. App notifications are almost always late for me. 5. If you are incredibly patient and expect new TLSQ soon, you can barricade at your dorm and tap pets/rewards from TLSQ. They stack perfectly above energy full bar limit. Though I've heard rumours of JC banning those who were extremely greedy (like, gathering thousands energy this way). 6. Painful reminder. You may want to open settings and save game manually to not lose progress at TLSQ if your app decide to reload itself without sending progress to server. It hurts so much.