There are a few alternatives that you should look into. Besides having a custom board built for you (either professionally or through a site that allows you to upload your own circuit), you can talk to someone at a local makerspace or use a prototyping board.
Some makerspaces have the ability to make custom boards and, through various techniques, can make professional quality boards. The makerspace I use has a laser cutter that we have used to produce high quality boards, but we've also done it with CNC machines as well as traditional DIY "draw it on with a marker" methods.
There are also prototyping RPi hats or more generic boards that already have holes pre-drilled. Making traces is done by bridging the holes with solder or jumper wires. It's still crude, but better than a breadboard.
I briefly mentioned it earlier, but there is software you can download to design your circuit board so that you can upload it to companies that'll make small quantities of your board for just a few dollars. Eagle is the name of one of those pieces of software. The sites don't give suggestions or support, they just make the board and send it to you. Some sites may offer help for extra money. I can't remember any sites specifically ATM, but Google is your friend. :-) A good keyword search start: "circuit upload custom board".
With any of these options, I would suggest getting a project box. A makerspace with a laser cutter should be able to cut an acrylic one for you pretty easily. Makercase.com makes that even easier. Buying a premade one from Amazon or eBay also works.
FYI, as a professional computer tech of many years, I had to explain to many people that dust killed their computer. Some dust short circuited things, other dust acted as an insulator to power starve components, and most other dust prevented proper cooling. Keeping your project protected is key to keeping it running.
If you aren't aware of any local makerspaces, there's a map of them that's kept fairly current. http://themakermap.com/ Makerspaces tend to have some really smart people, so you might find someone(s) of like mind to work with and maybe even give you pointers on how to improve your design. Depending on your experience, you might be able to help them instead.