You did mention that you are using Stripe; is Shopify Payments not available in your region? If it is available, then I definitely recommend using Shopify Payments if you are eligible. With Shopify Payments, you won't be responsible for any transaction fees, and you'll be able to track your payouts directly through Shopify. Best of all, you should be able to use Shopify's checkout with Recharge.
For more information on how Recharge integrates with Shopify's checkout, I recommend checking out Recharge's FAQ here. They also have a Shopify checkout integration guide here. If you have any questions about setting this up, then you'll just need to contact Recharge directly; when it comes to getting help with third-party apps, the developers are the best to assist.
I hope this helps. Let me know how that goes!
Julie | Social Care @ Shopify - Was my reply helpful? Click Like to let me know! - Was your question answered? Mark it as an Accepted Solution - To learn more visit the Shopify Help Center or the Shopify Blog