Manila has dorms with A/C and kitchen access for 3000 pesos per month. That's barely over 50 USD. Food is ridiculously cheap in PH, even cheaper if you get together with some roomies and prepare a communal meal every evening. Hell, if you do the cooking, you just might save a dollar a day and eat for free.
Don't be a fucking thief, that shit and all other nigger behavior is absolutely not tolerated in Southeast Asia. Instead, develop a reputation for trustworthiness and make some pocket change watching people's shit on the street for a few hours a day. Security is a huge, huge business in PH, and involves nothing more than sitting on your ass and nooticing everyone walking by. Staying in PH legally as a youngfag is quite another issue, but really, it will only be an issue when it comes time to leave the fucking islands. Life on the streets in PH is ruled by barangays, which are basically villages with their elected chief and council. Yes, even the biggest cities are entirely composed of barangays, and the Philippines National Police plays very little role in policing the streets. As long as you are a decent person and make some important allies, you could stay indefinitely.
Just be charming, and find a simple-minded single girl who likes your brokefag white ass for what it is. Sticking your dick in an already occupied hole is how you end up gang attacked by 15 nephews and cousins of the enraged boyfriend.
If you leave a big wad of cash on your bed, yeah, the temptation will be mighty strong to grab it and run for the bus terminal. But no flip is gonna steal your fucking sandals or your phone charger. They probably wouldn't even steal your laptop if you had one. Steal once and you are forever fucked in flipland.