Yeah, we often recommend using Serverless Framework and AWS CDK together. Serverless's strength is working with Lambda and API Gateway, but writing YAML for the rest of the resources is very cumbersome. So a good pattern here is to use CDK for the rest of your infrastructure, and Serverless for your Lambda functions.

In fact, we created a tool to do exactly this - Serverless Stack Toolkit (SST), which allows you to combine CDK and Serverless Framework - https://github.com/serverless-stack/serverless-stack

So you can do `sls deploy --stage dev` and `sst deploy --stage dev`.