Interestingly, the Constitution Party affiliate in Utah (home state of the national CP chairman), notified the Utah Secretary of State that they would be participating in the upcoming primary election, March 3, 2020. It only cost $500.00 for a candidate to file. That is relatively inexpensive for ballot access. For example, the IDCP primary costs $1,000.00 per candidate. It was able to garner six candidates for it's March 10, 2020 primary.
Unfortunately, not a single candidate filed for President under the CP UT, a state with almost double the population of Idaho.
See Vote Utah Official Candidate List