Yes, I appreciate the fact that this particular product already contains ground up bone but the company also recommends the giving of bones for oral health. Anyway, the OP's question was specifically about the safety of raw food in the presence of a toddler so maybe we shouldn't get side tracked on the benefits or otherwise of this method of feeding.
@beaglescomeback - I think that you are going to have to do a lot of reading around this subject in order to get a balanced view and to make a sound decision. There is a lot of well researched documentation on the issue, some completed by official bodies. From what I have just read, the infection risks are mainly from samonella, listeria and campylobacter. As has been pointed out already, the latter organism has been the subject of much debate in the news this week and supermarket shelves have have been cleared of their stocks of chicken because they were so badly infected. I sincerely hope that this wastage has not entered the dog food chain.
Here is a quote from the Canadian Veterinary Journal (2002):"The results of this preliminary study prove that some dogs fed a BARF diet shed Salmonella spp. in their stools. This fact should be a consideration for owners choosing to feed this diet and be of especial concern for those with young children, the aged, or other people who may have compromised immune systems. We hope that this study will serve as an impetus for further study, with more subjects and multiple stool samples from each subject, to fully elucidate the public health concerns of this popular feeding trend. Given the high percentage of BARF diets that were positive for Salmonella spp. on culture, strict hygiene must be implemented when handling this food. In addition, the food bowl, the feeding area, and the pet's mouth must be considered as potential sources of Salmonella." Source
. A more recent article (2007) from the same journal can be found here
and that, too urges caution in the presence of vulnerable persons. Two more links here
I can only say that I was uneasy during the whole time I was feeding raw food to my dogs, even though it was a good quality ready meal type. This was because my OH is elderly and immunosuppressed and although I love my dogs, his health is more important, especially as the dogs manage perfectly well on what I consider to be a safe and good quality dry food. However, I have a medical background so maybe that influenced my thinking. As I have done, only you can make that choice but to do it you need information so I would urge you to do as much reading up as possible first.
As a separate issue, if you decide not to go onto raw feeding but would like dietary advice, we could perhaps try to help. However, you would need to provide us with further information regarding the products that you have tried and the kind of problems you are having with your Beagle. Have you consulted your vet about the matter and if so, what has been said? Regarding the coprophagia (eating poo) I am doubtful that raw feeding will make any difference. In my experience once a dog has a habit of doing this the only way of dealing with it is to clean up quickly and thoroughly or to muzzle just while he is out in the garden, especially if he is a fresh poo eater and both dogs are out together.