Next you want a job, look for one. Check google for softwarecompanies in your area and just apply for a job. You can code? That's great, most companies, I know in my area are looking desperatly for developers. You can't code you still can get a job in Support,Testing, Documentation(well obviously not me, not a navtive speaker...). Don't be afraid of the requirments they put in their application forms, that's BS from HR. While we are at it, avoid HR and recruiting staff/companies, if you can get involved with one of the techguys ask them for a job. My first job in SW i got through a ScrumMaster of a company, I had to supply my CV 2years later when I was promoted and HR never realized I didn't hand them in.
I know being in a situation like yours is exhausting, I've been there,others have been there https://www.youtube.com/watch?v=MbnFJVgBcw0
Keep on trying
I hope you submitted a one-page CV listing two years of experience with their company. ;)
It's a cultural agenda pushed by some folks, but there is absolutely nothing wrong with living with your mom and taking care of her like she took care of you in your younger days.
Combining your 2 incomes, you could quickly move out of debt, make a smart property investment together with your mom and through that, set her up for a decent retirement income on top of any pension she receives.
You may not get to live out "experiences" like all the hipsters that promote that lifestyle, but life will carry on as normal (unless you decide to relocate yourself and your mom to a place with better weather and cheaper living).
In the end, take my advice with a pinch of salt, but don't forget your mom and what she has done for you.
If I was in your position I'd book a flight to somewhere like Chiang Mai in Thailand (cheap, traveller-friendly, lots of English spoken, way more comfortable than you might expect).
With your budget, AirBnB if you can find somewhere cheap, otherwise bunk in a hostel dorm (hostelworld.com).
Check out Punspace (or whatever local co-working space is available where you are), go to meetups there, you'll meet several other "digital nomads". Tell everyone you meet that you can code and you're looking for remote freelance jobs. Best bet is to meet successful remote freelancers, they will almost always have clients or know clients who need more work.
This has also been a point of consideration in taking a remote job and living...remotely. Or that job in a dream locale without a strong marketplace--what if it doesn't work out?
OTOH this (and essentially all) advice is meaningless, and you should do what you want. Maybe one person plays it safe and stays comfortably employed yet miserable, while another moves to some far-flung destination, earns little but has a blast. Who knows?