brain power seems to be in short supply lately.dash gauges are not exact readerr. they're more indicators than anything. you may notice that your gas gauge, if like mine, goes from full to half, rather quickly (about 3-4 days) but half to empty takes another week and a half. my point is that, even though it may look about half, when the gauge says half full, doesn't mean it's a quarter tank full when the gauge says a quarter tank full. in my mind, the only thing that could be keeping you from getting fuel to the engine, is either the pump, or simply an empty tank. clogged filters or injector would simply bog the engine. not running means no gas is getting past the pump.
if it wasn't for the fact that it's happening at a specific time, i wouldn't jump to a poor gauge so quickly, but really that's all it sounds like. you're not experiencing bog or performance loss at any other time, it just simply sounds like you're running out of gas, and the gauge reads wrong. lucky for you, you know when the gauge is telling you you don't have enough fuel in the car. so even if there is left over fuel in the car, fill it up. it's not worth the time and energy to fix it honestly, because you can solve the problem by compensating with your own brain power.