As far as I am aware, the KYC requirements currently only trigger for individual purchases over $3,000, so you should be able to make future purchases without issue. I've certainly not heard otherwise, and this quote from their website would seem to confirm it (emphasis mine):
If you're requesting a refund of $1,000+, receiving a payout from a business using BitPay's payouts API, or making a $3,000+ payment, you will notice one of these screens asking you to verify some details about your identity and location
Having said that, I'm sure if you were abusing this to send $2,900 to someone 3 times a day, BitPay would pick up on it and shut down your account. Their Terms and Conditions already include a clause about bringing that limit down:
These thresholds for high-value verified payments, refunds, and payouts are subject to change, and we will announce any changes to BitPay Dashboard users.
I know as a consumer there is often not much you can do, but I have been actively switching away from any companies which are using BitPay. I don't want to support their shady business. BTCPay is a better alternative.