Matthew,
Ah, if only there were such databases full of entry level positions. So far, none have come to our attention and for good reason. Entry positions tend to be local hires involving minimal recruiting expense for the employer, so why post a job on a national site? The alternative is to visit job boards that are local. Some ACHE chapters may have these. However, even healthcare local sites may not show many postings for entry positions as those that exist may be filled through loyalty arrangements with health administration degree programs that try supporting their new graduates' placement (often alumni hiring alumni). So, the strategy to follow involves selecting geographic areas you want to be in, knowing what type(s) of jobs you are seeking (such as financial or business analyst, quality project assistant, network coordinator), and then networking with individual in those areas who are acquainted with organizations that employ individuals in those positions. Sound like a lot of effort. It is, but you can make the most of your efforts by knowing "how to." Check out Career Management 101 on ache.org for some useful tips.