You're going to need to lower your requirements a little, because you're not going to find something that is reliable, affordable, secure AND honest all at the same time. Usually reliable and affordable are mutually exclusive items... The more reliable something is, the less affordable it is, because reliability means redundancy, and redundancy means added cost. Security means that you have to have someone monitoring the system on a fairly routine basis, which also costs money. The cheaper something is, the less likely it is to be completely on the up and up. Odds are they are not telling you something, or it's buried in the middle of page 50 of 6pt fine print.
You can try doing this all on your own and you can get cheap and honest (since you'd only be cheating yourself), but then you'll quickly find out just how much work it is to maintain even a relatively simple web server.
So you're either going to need to compromise on a couple of those requirements, or maybe rethink the whole idea. It's sort of like how people want laptops that are lightweight, high performing, and cheap... Basically you can have any two of those things, but not all three.