I am Webmaster who for now is satisfied with my host but I have heard of so many others who are having problems. Usually the problem does not stem from the fact that they are using more resources than what they have paid for but more that other users are using so much it is slowing the server down leading to unhappy customers.
The way out for these poor souls as well as those who are looking for a server that does not get interrupted by outside sources is to buy into one of the many Virtual Private Servers that are around. Naturally selecting a server is like buying any product or service and requires shopping around ensuring that you get not only the best price but also the best and right features for your situation.
NetworkSolutions is certainly worth some consideration as they packages offer many features, none more important than their 24/7 real customer service. This has to be a must as there are times when a person-to-person conversation is the only way that a problem may be resolved quickly.
Other great features like a free domain name, lots of disk space, plenty of RAM, disk speed etc are all icing on the cake. The most important feature is of course the fact that you now have your own private server and never have to worry about another user hogging all the resources.