While such a license might exist, it would not be an Open Source license (as per the accepted definition, of which it fails to meet roughly half the conditions), let alone Free (Libre) Software.
You are publishing source code, but that alone doesn't make it Open Source - otherwise, the software I write for my day job (we deliver sources to most of our clients) would also qualify as Open Source.
In case you're not too attached to the Open Source label, just look in other directions. There are probably products around that use a similar licensing model; see if their licenses fit your needs.
And of course, as always: if you want actual legal advice, consult an actual lawyer. More so if this is not just a pet project but something you rely on for your income.