Hello,
If you want to Run your website on AWS EC2 You just need to Signup amazon account and they will ask your Credit card information just for verification purpose.
They currently offer free usage Tier, maybe your website run Free or as low as $20 or $25/month depend on your website Traffic. AWS Basically on per/hour usage.
Your Budget $30 is very low for this JOB because if you talk about AWS it means you are asking about A to Z Management. include Managing your EC2 Instance, Managing and configuration as well Security.
Following are our QUOTE:
$30 for Wordpress website live and install all required module that make smooth your wordpress.
$30 Managing your EC2 Instance and Configuration of your Server including Installing Apache,PHP,MYSQL,SECURITY ETC.
Total: $60, its still very cheap.
let me know your thoughts. you can find we done similar job recently.
Best regards
Matli Digital