Unfortunately, probably not much. I'm not sure where you're going to get another adsense account, but if Google doesn't like the traffic on your sites, then it doesn't matter to what adsense account they're attached. You say the traffic is good, but Google obviously doesn't agree. If Google thinks you earned money using traffic it considers invalid, then you're not going to be paid that money.

As with anything Google it's not always that cut and dry, ember. I once had a spike of invalid traffic with a 50% earnings clawback, years ago when I still used adsense, but I was quick to disable adsense when I found out.

It turned out that I had inadvertantly set a fixed width in my template during an update that was causing side-scroll on mobile and allowing line spacing to be 14 pixels apart, as opposed to the 16+ recommended at the time. The combination brought links too close together and caused invalid clicking, it had nothing to do with bad traffic to the site(it was mostly traffic from search).

Once fixed I turned adsense back on and invalid traffic went back to the 0.2% range, down from a single month spike of 50%. I was never banned, though.

Anyway, my point is that you can/should fix whatever it was that Google was objecting to if you want to keep getting quality search traffic. As for having another adsense account, I don't think they'll let you do that. Once banned permanently you're toast. Some site owners have managed to get a new adsense account by launching an LLC and making the site a business site but that's not a guaranteed welcome back and it's not practical for most people.

If you have the option to request a single appeal make sure you fix what you can before you request the appeal and if you were doing something shady admit it in your appeal and promise to stop, they probably already know.

As for your getting paid question: Google will likely pay you the part they didn't claw back, if you meet the threshold, but the clawback part of your earnings will go back to the advertisers.

Sgt_Kickaxe, prk11 said his account was closed thanks to invalid traffic. Google says, "Publishers disabled for invalid traffic are not allowed any further participation in AdSense. For this reason, these publishers may not open new accounts." He can appeal his banishment, but if he is denied, then that's it. If he hadn't been banned, then yes, he could work on improving/fixing whatever was causing the invalid traffic.

Delete your Adsense account, put a robots txt (googlebot nofollow) to your sites and ask through webmaster console >>removals<<< to temporary remove both of your sites,
wait a couple of months, create another account with different bank and email account...and..
Bob's your uncle.
Good Luck

@olddog - Not recommended because you'd need to change your tax information too and you don't want to mess with the taxman.

Options
- Fix the site and use your appeal, if you have one
- Sell the site
- Find another advertiser to partner with
- Launch an LLC if it makes sense and open a business account with adsense. This is a waste of time if you don't fix what got the first account closed, though.

Don't give up, It's not the end of the world. it's just another challenge and webmasters face those all the time.