Asking people who are not your target customers what the price should be should get you an answer to price it to be free. These people will not think it is worth more or less than you're thinking as they dont need it. If they offer a price, they're guessing since what you have is not something that solves a pain for them.
Instead, talk to customers early and saying "we are doing x to solve y pain and are thinking of charging $z. What do you think?". If they vomit all over the price, then you know you're too high. If they don't get into price cuz they don't get the product, then you got different problems to solve before pricing.
In general, for these convos, I think going higher with this initial pricing is better as it has price anchoring benefits and it's much easier to go down then up in subsequent convos.
But of course, target customers are better. I have a feeling most people when starting out, don't even ask those, but just take the "expenses plus a bit of margin = price" formula.
A friend of mine was starting a subscription ecommerce site targeted at women (clothing & makeup primarily). She asked me about pricing (I'm a guy) I used all my "knowledge" to offer up my thoughts on price and then she asked "would your wife or sister use it at that price?" and I couldn't say. At that moment, it became apparent to both of us that although my pricing logic seemed ok in a theoretical, consulting-esque way, I was actually a pretty useless windbag in this circumstance.
I fear asking non-customers just risks getting at very wrong pricing - garbage in, garbage out. And also risks you missing out on great product feedback as well.
It's actually way more complicated than that but for the love of god just don't ask people what they'd pay. People are terrible about managing hypothetical money and purchases.
My experience, over many years, is the same as well.
People first of all don't even know what they will pay. They can be manipulated into paying more than they were willing to by anchoring and a whole host of negotiating tactics. As another example, just take a look at the way that auctions work. You might decide upfront you will only pay $100 for an item but if someone outbids you the thought of losing the item when you can offer $5 more draws you into bidding more than you would have expected to.
Also look at the way infomercials work in manipulating people to make purchases. "What if we told you this costs $15, well it's $10 and we're going to give you 2 of them". Etc.
Make sure you don't give them an anchor. Make sure to ask across a few income ranges (ie. not just poor students).
What you'll often find is that people have a bad sense of how much something is worth and will think your service is worth more than you do.
You can then charge something like the median suggested value. It's what I did for postme.me[1] and it got me sales on the day of launch.
[1] I seriously need to reboot that project, never kill a project that's making sales, even if it's currently "not enough" - just invest more in marketing. Silly Swizec.