Any semi-pro landscape photographer approached by EnjoyEngland (or an TIC type body) would be foolish to outright reject the opportunity without thinking about it (not referring to the OP, but the attitude of some of the respondents). Careful wording is required for licensing, but this is an opportunity to get one of your images in front of a worldwide (predominantly WEIRD) audience.
If you could get assurance that your name would always be credited, and that the image wasn't going to just disapear into an EE image library, then the value of it's credited use by EE has to be considered. Is it a local landmark where you live? always worth a try in the local rag for a "local 'tog has image selected for national tourism website" piece on a slow news day. Local or not, once it's featured by EE how much more likely is it that you can license hotels, b&b's, etc to use small versions of it in their own brochures? (on the basis you're more likely to squeeze £20 out of twenty people than £250 out of one) How much could you squeeze out of this as a marketing opportunity for this and other images of the same area? How much is thisimage currently earning for you towards the expenses you've mentioned? or is it dead stock?
Requests for free usage might at first glance seem a lemon, but it's always worth a look to see if there's the opportunity of making lemonade. How much exposure is this image currently getting? How much is it likely to get in the future with your current level of marketing?