Actually I don't wish to confuse you but SOME analogues are no good at all, but usually when it comes to hygrometers, I don't trust digital ones at all. Accurites aren't so bad, but many other brands that I've tried are even more off than analogues, with the same brand's products having more than 30% difference in humidity readings. Temperature readings with digital thermometers however have not given me many problems. The best thing to use for humidity, as I have been adviced by kitedemon, are those with calibration usually used for more professional stuff like weather and what not. The slightly cheaper ones which are flimsy and loosely attached can be moved around abit. But before you discredit your humidity measuring device, you can perform a salt test to test its accuracy. Do google it if you have time.
Anyway, I think it's the lamp that is reducing your humidity by so much. They are notorious for doing so. First thing you can try is having your water bowl right under the lamp, another thing is to put it on a dimmer or thermostat so it isn't running full power 24/7, it'll help to increase the average humidity levels too. You can just create a humid hide, an ambient humidity of 45-50% should not be a big problem if you have a humid hide for it. Of course, the standard recommendation of changing to a UTH is a great one, I only use my heat lamps if I need to increase ambient temperatures and even so its positioned over the water. Humidity is so much easier to control that way.