Yes, i don't see why OP can't use something like Bitpay or coinpayments for a month to month subscription service.
Coinpayments; https://www.coinpayments.net/apidoc-accepting

If you have a bit of technical knowledge yourself, you can probably even cut the third-party out, and just use Bitcoin core. (Which will save some % on each tx.)

Two others that might be worth looking in to;
https://www.blockonomics.co/merchants#/page1
https://gourl.io