35mA sounds within the realms of normal.
The amp hound is a great little tool, they can quickly give you a pointer to where any parasitic drain is going - next best thing to a crystal ball. The only drawback is that they are not cheap for something you might use very rarely.
You can do the same job with an accurate digital voltmeter, a lookup chart and a bit of head scratching. Not as quick as the amp hound, of course, but just as effective. There are various charts around, they are all pretty similar - I can find one out and add it here if anyone is interested.