In Arkansas, you may be able to avoid the probate process or at least shorten the process if certain conditions are met.
These conditions include:
the total value of the estate is less than $100,000 and claims (debts or judgments) against the estate have been paid—there are other exclusions and exemptions from this amount, such as the homestead exemption and spouse and child allowances
45 days have passed since the death before filing the affidavit
there is neither a personal representative of the estate already appointed nor a petition for an appointment pending
Official Probate Forms on Arkansas Judiciary Website