Homestead remote database connections

I'm having trouble figuring out how to connect to databases. When I run 'php artisan migrate' or '$object->save()' form tinker, I get an error, most commonly: SQLSTATE[HY000] [2002] No connection could be made because the target machine actively refused it. If I SSH into homestead, then run 'mysql', I get: ERROR 1045 (28000): Access denied for user 'vagrant'@'localhost' (using password: NO)

My best guess is that it's a credentials issue or a port issue, but I haven't found the same situation online. I've been at this for two weeks, trying Laravel with XAMPP in Linux Mint, countless reinstallations of VirtualBox/Vagrant/Homestead, giving Laragon a try and starting on a different computer yet I still keep getting the same errors. So at this point I'm left wondering how much a framework needs to crush a beginner and what super obvious thing my little brain is missing. I turn to you in humble defeat.

This is how I setup my latest attempt on a second computer (Windows 7 64-bit):

1. Fresh install of VirtualBox 4.3.28
2. Fresh install of Vagrant 1.7.2 + restart
3. Fresh install PHP 5.6.9 standalone
4. php_mbstring.dll, php_openssl.dll, php_mysql.dll, php_pdo_mysql.dll, php_pgsql.dll, php_pdo_pgsql.dll and '"extension_dir = "ext"' uncommented from php.ini
5. Fresh install of composer (using .exe installer)
6. Git for Windows installed
7. Vagrant box added with vagrant box add laravel/homestead
8. Homestead installed with composer global require "laravel/homestead=~2.0"
9. 'C:\Users\Coderooney\AppData\Roaming\Composer\vendor\bin' added to environment path
10. Homestead initialised with homestead init
11. SSH keys created in Git Bash with ssh-keygen -t rsa -C "you@homestead"
12. Configured homestead.yaml
13. Changed homestead.rb port forward 80 => 8000 to 80 => 7020
14. Added '192.168.10.10 laraduck.app' to hosts file
15. Laravel installer installed with composer global require "laravel/installer=~1.1"
16. Laravel installed with laravel new laraduck in C:\dev\projects
17. VM booted with homestead up
18. SSH into VM with homestead ssh
19. App name served with serve laraduck.app /home/vagrant/dev/laraduck/public
20. http://laraduck.app, http://localhost:7020 and http://127.0.0.1:7020 all show Laravel 5 welcome page
21. Stuff generally works, php artisan works, following "Laravel 5 Fundamentals" series goes fine until lesson 7 - Migration
22. Can't connect to remote database, whether using MySQL or PostgreSQL. $object->save(); in tinker doesn't work. php artisan migrate doesn't work. Running mysql in SSH gives me 'Access denied'.

My homestead.yaml:

---
ip: "192.168.10.10"
memory: 2048
cpus: 1
provider: virtualbox

authorize: C:\Users\Coderooney\.ssh\id_rsa.pub

keys:
    - C:\Users\Coderooney\.ssh\id_rsa

folders:
    - map: C:\dev
      to: /home/vagrant/dev

sites:
    - map: laraduck.app
      to: /home/vagrant/dev/projects/laraduck/public

databases:
    - homestead

variables:
    - key: APP_ENV
      value: local

# blackfire:
#     - id: foo
#       token: bar
#       client-id: foo
#       client-token: bar

# ports:
#     - send: 93000
#       to: 9300
#     - send: 7777
#       to: 777
#       protocol: udp

My database.php is untouched. 'mysql' section:

'mysql' => [
    'driver'    => 'mysql',
    'host'      => env('DB_HOST', 'localhost'),
    'database'  => env('DB_DATABASE', 'forge'),
    'username'  => env('DB_USERNAME', 'forge'),
    'password'  => env('DB_PASSWORD', ''),
    'charset'   => 'utf8',
    'collation' => 'utf8_unicode_ci',
    'prefix'    => '',
    'strict'    => false,
],

My .env is mostly untouched:

APP_ENV=local
APP_DEBUG=true
APP_KEY=xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx //My actual .env has a real key

DB_HOST=127.0.0.1
DB_DATABASE=homestead
DB_USERNAME=homestead
DB_PASSWORD=secret

CACHE_DRIVER=file
SESSION_DRIVER=file
QUEUE_DRIVER=sync

MAIL_DRIVER=smtp
MAIL_HOST=mailtrap.io
MAIL_PORT=2525
MAIL_USERNAME=null
MAIL_PASSWORD=null

Let me know what I can do to help you help me help you help me. Thank you so much.