These distinct two animals should be very much alike in Phenotype and numerously as possible alike in Genotype(stacking your cherries).
Never a pro at it but figuring the mathematical probabilities of the different combinations of chromosomes on each gene nuclei in the genetic strains, I don't count breeding on one hound in a breeding plan much of a worry in getting to "Close" or factoring to greatly in the offspring. It's only the start of building a pool to select from to set and develop or settle a type of hound your looking for. Many make this start then become disheartened and switch to the next greatest individual to come down the beagle trail, only mixing up the soup even more and never coming close to settling or developing any consistency in what their after.
It has always been humorous to me listening to folks talk about this COI and it becoming relevant on a cross or two of two unrelated hounds being bred back to each other a time or two, especially when the hounds behind them are also unrelated or worse, different in Phenotype.
God chose Abraham seed to build his nation, Rev. Parks wrote a good article in his book on line/inbreeding, including people. I am a firm believer in the powers of hereditary and selection, it works whether using the Phenotype or Genotype breeding.
My daughter is more hardheaded like her grandpa but both my children were valedictorians like my wife and her brother were,..I only take credit for their good looks...