There are a few schools of thought at work. Not everyone is going to subscribe to the same philosophy.
You can use the $60 offer and reply and hopefully get another offer even if the deal does not go through. Sedo will show this as 2 offers on the domain. For some buyers that does matter, I have spoken to guys at VC firms and I even think Kevin Rose (Digg.com) once wrote when looking for a short 5l.com he only looked at names that had previous offers.
My one contact at a VC firm told me they used this as a filter as in their (inexperienced as a domainer) opinion, names with no offers were probably not worth a lot.
You can also go the other route and just make the min $250, someone moving up to that level for an opening offer is more likely to be serious. Not always, but usually.
Fixed price is good for names that you have a good handle on the niche. But fixed price on a brandable which really needs the perfect buyer, can take away your chance for a bigger hit. Maybe you can get some kind of intel on the buyer or search your name on Google and look for any mentions. That is your chance to maybe get more than your thought. The same goes with future tech, someone at a conference announces a new tech breakthrough and you got the perfect name you don't want it fixed price for $888.
Its always frustrating to get $60 but try to use it as a plus to tout the number of offers on the domain. It could payoff later for you in selling the domain for a much better price.