GP, who answered you in #7 does production sound for a living; I worked about three years doing production sound, I've been doing post sound for a living for almost ten years now, and audio in general for almost 35 years. So I think that we both may have a pretty good idea of what we are talking about. I don't know who you've been talking to about sound, but he really has his head up his anus. And I really get the feeling that you just ignore the things that you don't want to hear from GPs or my posts.
There are reasons why a "Hollywood" sound cart costs over $100,000. There are reasons why the best production sound mixer/boom-op/wrangler teams make almost $1.5k per day. If you want great sound you have to plan for it, you need the proper equipment, you have to acquire the knowledge, you have to acquire the skill sets, and you have to expend the efforts. And even then 20 times the money and effort will be expended in audio post massaging the production sound and adding further sonic enhancements such as Foley and sound FX; and mixing it all is another dimension entirely.
Capturing good production sound is HARD. Capturing great production sound is even harder. A shotgun mic is not an audio magic wand, it will not do what you are trying to accomplish. I won't go into the details, but due to the physics of sound and the principles on which they are built, shotgun mics are a very poor choice for indoor usage 90% of the time, and I would lay very heavy odds that you will not be shooting in the other 10% of those situations. No matter what you do, at some point you will have to spend some relatively serious money to accomplish certain audio tasks and even then the task will only be accomplished by someone who has the knowledge and experience.
Your original question was "I am shooting a film on a shoestring budget and would like to know what's the cheapest mic and digital sound recorder I could get, but that still has good enough quality to qualify for the movie to be sent to the film festivals, and not be judged for poor sound." I gave you the ultra-cheap solution. If you know better then do what you want.