If young earth creation is true, we should be able to recover original DNA from dinosaur remains, the same as we do from other, more recent species. In fact, we should probably be able to sequence the genome of at least one dinosaur species. But as of today, we do not have even one verified discovery of dinosaur DNA.

The only published explanation that I could find by young earth creationists for this ostensible lack of extant dinosaur DNA is that paleontologists are ignoring dinosaur DNA when it does not resemble DNA of some living species chosen for its evolutionary relationship to dinosaurs (e.g., chickens).

This claim is notably made here: http://www.icr.org/article/dinosaur-dna-research-tale-wagging/

My preliminary effort at an answer is to question the assertion that sequenceable DNA, not attributable to contamination, has ever been found in dinosaur remains. See here: en.wikipedia.org/wiki/Ancient_DNA#.22Antediluvian.22_DNA_studies

A 2009 paper from Institute for Creation Research claims that the reason no DNA has been successfully extracted from dinosaur remains is because any results that don't fit the evolutionary model are suppressed:

Because evolutionary scientists are committed to only publish dinosaur DNA data that match their naturalistic tale of origins. Despite the amazing discoveries of soft tissue from dinosaur bones, dinosaur DNA research results (and other dinosaur "connective tissue" research) continue to be steered by evolutionary dogmatism.

If young earth creation is true, we should be able to recover original DNA from dinosaur remains, the same as we do from other, more recent species. In fact, we should be able to sequence the genome of at least one dinosaur species. But as of today, we do not have even one verified discovery of dinosaur DNA. The only explanation offered by young earth creationists for this ostensible lack of extant dinosaur DNA, aside from saying that God destroyed it all to confuse scientists, is that paleontologists simply do not look for dinosaur DNA.

My first thought on the matter is that paleontologists do look for dinosaur DNA, given a promising enough sample, but most dinosaur remains are obviously fossilized to the extent that no organic matter, let alone DNA, would likely remain. Thus checking for DNA would be a waste of time and money.

My second thought is that paleontologists used to check far more samples for dinosaur DNA than they currently do, but have practically given up now that such efforts have proved fruitless.

Is either of these assessments accurate?

If young earth creation is true, we should be able to recover original DNA from dinosaur remains, the same as we do from other, more recent species. In fact, we should probably be able to sequence the genome of at least one dinosaur species. But as of today, we do not have even one verified discovery of dinosaur DNA. 

The only published explanation that I could find by young earth creationists for this ostensible lack of extant dinosaur DNA is that paleontologists are ignoring dinosaur DNA when it does not resemble DNA of some living species chosen for its evolutionary relationship to dinosaurs (e.g., chickens).

This claim is notably made here: http://www.icr.org/article/dinosaur-dna-research-tale-wagging/

My preliminary effort at an answer is to question the assertion that sequenceable DNA, not attributable to contamination, has ever been found in dinosaur remains. See here: en.wikipedia.org/wiki/Ancient_DNA#.22Antediluvian.22_DNA_studies