Unfortunately, most other academics are seeking the same thing, and as a result success rates for fellowships tend to be the lowest of any kind of research funding, averaging between 5-15%. However, the Leverhulme 'Study Abroad' Fellowship bucks this trend. The success rate for these last year was a healthy 31%. They offer up to £22,000 to cover 'reasonable replacement cover whilst the Fellow is overseas; travel to and within the overseas country or countries; a maintenance grant to meet the increased expense of living overseas; and essential research costs.'
So if your research takes you abroad, think about these as an 'alternative' type of fellowship. But be warned: the deadline's fast approaching on 10 November.