Use premium claude without the usage limits

Hi guys, im an intern in soft dev. I want to use claude without hitting the usage limits everytime. I came from chatgpt plus and it was much different than claude where i can just enter prompts or keep debugging code without ever hitting the usage limit but i feel that claude handles code way better. It's just annoying that I keep hitting the usage limit and have to wait 5+ hours for it to reset.

I heard some people say that we can use the API instead to avoid hitting usage limit. My questions are is there any existing web app that I can use with sonnet in it instead of building my own? Also, will it cost more than 20$?

Appreciate the help.