Sorry I don't know Crowborough. I know how you feel though about having a DH who works away all week.
Surrey admissions won't process your application until you have an address, and obviously you would be crazy to sign up to a new house without having reason to believe that you can get a place(s) in a reasonable school. The estate agents are beyond useless with that sort of thing... they will imply that you only need to be in a catchment area and then they just make it up on where the catchment areas are, so don't take their word for it.
The only way i could find round it was to call the school offices and ask if they would have places if we were to apply through Surrey admissions? I must have called 100+ schools in Surrey and Kent and was told "no" every time, except 3 times (the Greville being one of those). It takes ages though ... you call the school office, wait for the person who knows about admissions to become available, listen to them explain how Surrey Admissions deal with it these days, plead for a clue on whether they would have places hypothetically, wait for them to get their list out of the file and then be told no. Then onto the next one. I was calling about 10 schools per day, even though I was working full time at finding a school. The ofsted website and the league tables on the department of education website were very helpful for this.
I tried Surrey Admissions but they take a couple of weeks to reply to emails and when they do, they mostly told me to get a contract for a house first and then they would let me know if any of the schools in the area had places (which they probably would not).
As soon as you find a school with places you have to go hell for leather to find a house and pay a deposit so that you can get your application into Surrey Admissions. But finding a house is not easy either because the sales market has dried up so people who would have bought are competing with you for the rental properties and even the overpriced rubbish is going quickly.
Our problem was that we needed somewhere commutable to London. If you don't then maybe you can consider the areas which don't have a fast train service and you may well find prices are lower and maybe there will even be school places?