I was thinking of buying a two door drop safe. It is 1/2 plate in front and 1/4 inch plate on the sides.
Just curious as to why you would want to use a drop safe for guns?
What company or what store would you recommend me to go to buy a safe and why?
I'm a little biased here.
I need a safe that isn't too big but heavy enough and thick plated enough that a burglar wouldn't walk away with it.
The safe you're looking at is the lightest end of the commercial options. You can get much heavier plate that will add more weight.
In the end, you will still want to bolt it down. That is really the only thing you can do that will slow down somebody who's wanting to walk off with it. I have seen safes weighing several thousand pounds grow legs.
Which companies or stores ship it for free if I buy it or at least charge a reasonable fee?
I will ship all of my safes for free once I can convince the freight companies to stop charging me for their services.
Until then, shipping a safe cost money. Some companies charge actual rates, some companies sell safes "cheap" then gouge you on shipping to make up for the low price, and some companies figure the shipping into the cost and just say it's free.
Your best bet is to look and buy locally. If that is not possible, then deal with a reputable safe company (just just some online place that sells safes) so you can figure out what you really need.
You will get what you pay for as far as safes go. If it's cheap, it's cheap for a reason. Bad welding, bad design, bad locks. If it's expensive, there's usually a reason for that too.