Yes, there is radiometric dating, which suffers from several problems. Then's there is the location in the geologic column, which of course was dated using radiometric dating.
And always in the background is the certain knowledge that funding follows results and only spectacular finds get rewarded. Nobody rewards you for finding 350 year old remains. How much better if you can find 35,000 year old remains.
No, Danny, it's not that simple. You seem to think that there is only one form of radiometric dating...when in fact, there are multiple types of radiometric dating, with multiple methods of extracting answers.
Not only that, there are other, non-radiometric methods available that date within the past 100,000 years and give answers that agree with radiometric dating. Ice cores, varves, cosmic-ray exposure measurements are just a few. But don't just listen to me...check out this link by a scientist, who is also a devout Christian: Radiometric Dating
A worthy link.
I see it this way... The more the ICR peddles the same lies year in and year out, the more funding they can extract from the faithful sheep who have never learned to think for themselves, while making them think that they are the poor renegades touting the "truth". How much better if you can be the one to get the Bible taught in science classes? Think of the prestige and ministry income then!
350 years = grave robbery
35,000 years = scientific research