Hi
In the absence of anyone else replying (where are you all?) I will give it a go, but haven't actually done Sharm DIY.
Most that do DIY tend to book flights with XL, BA or one of the charter's like Thomson or First Choice (although these will probably be 7 or 14 nights only). The airport is called Sharm el Sheik.
You can then email the hotels direct to get a price or try the various accomm only sites. Unless you book one of the many hilton hotels which you can do on the Hilton web-site. (Hilton Sharm Dreams, Hilton Fayrouz, Hilton Waterfalls).
If the 300 per night is just for the hotel you may get the Four Seasons, but if that includes your flight then you probably wont. On a package it seems twice the price of anywhere else.
You will need to book private transfers from the airport to the hotel. This means either getting a cab when you arrive. (might be quite daunting when you are a first timer :shock:) Alternatively if you stay at a quality hotel they will usually send a car for you at a cost.
You need to work out where you wish stay and if you want B&B or AI, Sharm spreads along 40 kilometers of coast. The main choice is between a 5* in Namma Bay with easy access to restaurants and bars each night or the many 4* AI's spreads along the coast with the odd trip to NB for a change of scene.
Phew! Sorry to be long winded!