I still have to give them a price
You're playing the wrong negotiation strategy. Your interviewer has an advantage over you and he's using it. The advantage is that he knows what he's willing to pay and you don't. Therefore, a number that in your case may be reasonable, might seem to you too high.
Never name a price first. Especially in your case, if they were truly impressed, they might offer you a number that was higher than you thought.
And then you ask for more.
How do you do that after they asked you to name your price? Repeat after me: You're in a much better position to know what I'm worth to you than I am. Are they pushing back? I don't think I should dictate to you what you should pay your employees.
You might have come across Patrick McKenzie's salary negotiation guide. I will also direct you towards his podcast on the same subject with Josh Doody. I was listening to that stuff on my way to my latest interview a few months ago, now I make double. Sorry to sound like a sleazy salesman, I'm in IT as well, and this stuff works. Give it a chance.