I am not sure if you meant no Zigbee or Hue specifically, or no receiver in general, but if the latter case I am not sure how you plan on receiving the signal?
Assuming you meant the former, another alternative are 433mhz buttons. They are super cheap (some $3-4 only, even in qty. 1, shipped! on AliExpress) but of course you will need a receiver.
There are lots of 433mhz gateway/receiver solutions, one that is recommended a lot around here seems to be RFXCOM however I honestly found that quite overpriced for what it is. So if you are as I suspect a “value conscious” let’s say (aka cheap ) person as myself, and you don’t mind a little DIY (I do see you tagged this with DIY in fact) another alternative perhaps (and what I use) is Open MQTT Gateway.
Get yourself one of uC that are supported (uC are lots of fun anyways) plus some 433mhz transmitter and receiver pair (make sure “superheterodyne” type!) and then put it together and flash Open MQTT Gateway (OMG). Step by step instructions on this over at OMG docs are pretty easy to follow, IMO.
Of course this presumes MQTT usage/preference also, but many people going this way now (not sure how you feel about it). But all this hardware is only handful of dollars.
As an added bonus, OMG also supports BLE, RF, and other protocols should you decide to add them later. Of course you need radios for those, but they are also readily available and inexpensive.
Another bonus, you can stick these buttons anywhere, without needing to cut into walls nor otherwise mess with mains wiring, etc. Always wanted another switch on the other side of the room? No problem… 3 button scene control? You get the idea…
I will be honest, these 1/2/3 gang 86mm (I think?) square 433mhz wall buttons do feel a little “cheap.” But they do work and are inexpensive. Not the greatest range in the world either (they run on coin cell). But batteries are cheap, readily available, and last a long time. However the OMG can be moved anywhere you have an Ethernet outlet, so in my case I will be moving mine to a more central location in the home, as right now it is in the back corner and sometimes struggles to pick up signals from front door area (which is essentially opposite corner of home for me).
There are also some “round” 433mhz buttons which are a little nicer looking / feeling and probably more appropriate for your doorbell (or whatever else).
On the config side, you basically use OMG to sniff the signals they put out (you can see the values with any MQTT monitor, I just use
mosquitto_sub -h <broker IP> -t +/# -v) then set up OpenHAB to do whatever you want based on those. I suppose I should write up a little guide on that. Let me know if anyone is interested and it might motivate me to do so.