I'm a mortgage broker and a Certified Mortgage Planning Specialist here in NY. Take a look at the link to CMPS to understand a little about this designation.
Please feel free to contact me at your convenience regarding financing.
I am Certified International Property Specialist and have done several transactions for international buyers, but not licensed to service you in NY.
Yes, you can get a loan, but you will need a larger down payment, and documentation. Use a Realtor and a lender who have experience and contacts in this segment, as it will make the process much smoother.
The Realtors who post on your Thread who work the NY area here will be a good source for potential reperesentation. And, of course, good input and advice can come from others who traveled the same road that you did. You have a good starting point with some of the individuals below.
About CIPS - Certified International Property Specialists - There is a member search link, here also.
A friend recently moved from the UK and she banks with HSBC. Because HSBC does business in both the UK and US they were able to convert her UK credit into an US credit score. Might be worth checking into.
We have bought and sold three homes since 1999 and have been able to establish great credit. My advice: speak to your bank manager before you leave the UK. Also, find a US Mortgage Professional right away. If I could help you more please contact me at email@example.com Good luck and Welcome!