Using namecheap dns with cloudflare

Since CloudFlare doesn't provide E-mail forwarding I need to leave my DNS management on Namecheap.

What DNS records (A,CNAME,...) would I need to point to CloudFlare (and to where) to be able to still use their functionality whilst leaving the rest up to namecheap?

I ended up using Mailgun to "solve this problem" which gives me free mail servers to do the forwarding as I needed, there doesn't seem to be any way of doing this just with namecheap and cloud flare as the problem I stated. Thanks everyone for the help.

"Cloudflare does not make it easy for you to use their service without giving them DNS access (I think it is only possible through their API)"

You don't need to change to our DNS when activating through a CloudFlare hosting partner.

We also do offer CNAME setup to some users that can't change to our nameservers.

"Then add them to your Cloudflare zone file and this will point all mail back to your previous provider."

Yes, people would most certainly want to have all of your mail and MX records in your DNS settings at CloudFlare (if someone signed up directly). Thanks for answering this:)

You can perfectly well manage your DNS within CloudFlare. Just use its DNS manager to set your MX records to whatever they need to be.

This is not easily possible. When you setup CloudFlare, it will transfer all your current records. It is usually an on or off kind of thing. You can exempt each A or CNAME record from Cloudflare by clicking the orange flag. With namecheap, they probably rarely change their MX records. I would switch, it should still work, just make sure all your records are identical (which CloudFlare should do for you anyway).