British Council Newton opportunities
http://www.tubitak.gov.tr/en/funds/academy/international-researchers-fellowship-programmes/2216/content-application-dates (application windows: 16 March - 20 April 2015 and 14 September - 19 October 2015) Open to non-Turkish citizens 35 years or younger.
Maintenance and research expenses to allow applicants to spend a period of 12 to 24 months on advanced study or research at a centre of learning in any overseas country (excluding the USA). Non-UK residents are not eligible.
globalacademyjobs.com/ global HE jobs board, including search filters for lecturing and post-doc roles (see other jobs boards below).
http://www.access4.eu/ Portal to worldwide studentships and visit opportunities for European researchers (e.g., search under ‘scholarships’).
The British Academy http://www.britac.ac.uk/funding/guide/intl/ offer a little support for UK scholars seeking to undertake a period of research abroad and for scholars from other countries seeking to undertake research in the UK.
Lindemann Trust Fellowships
Up to three grants a year worth $30,000 each for postdoctoral scientists to carry out research in the USA. To be eligible to apply, candidates must be British or Commonwealth citizens, resident in the UK, and have completed a doctorate within the last 2 academic years, or be expecting to complete this academic year at the latest
Marie Curie-Skłodowska Actions (MCSA) have an emphasis on international and inter-sectoral mobility, and also have a strong focus on careers and skills development for researchers: https://www.ukro.ac.uk/mariecurie
Check out travel grants too.
Other options might achieve a similar effect to a visiting fellowship (intellectual reward, personal reward, new location), in a different context. For example VSO are looking for voluntary social researchers to enable NGOs and other organisations to become more responsive to the needs of the communities they serve: http://www.vso.org.uk/volunteer/opportunities/community-and-social-development-hiv-and-aids/social-researchers So think laterally – what other opportunities might help you achieve your ends? Teaching English as a Foreign Language? What else?