Not quite what you're asking for, but I have a share in a PA28-161 at Popham (about an hour's drive from Bournemouth) which I irregularly use for business trips. Nothing planned at the moment (but about 12 hours in the last couple of weeks, you should have posted sooner!) , and our syndicate rules don't allow non-syndicate members to log time on it but if you want to come along on the odd long trip, usually in the week, take the right hand seat and either fly or navigate you'd be welcome to come along with the proviso that although I'm paying for the flying anyway, you'll obviously need to sit around wherever I'm going and possibly find yourself a B&B.
Alternatively, there are lots of aeroplanes around Popham for (relatively) inexpensive hire (C172 around £75/hr I think), or fairly cheap syndicates. Ours runs two aeroplanes - the PA28 at £50/hr+£35mth, and a C152 at about £35/hr+£30mth; that's one of the better syndicates at the field but not unique and if you drop in and take a look at the notice board there are a lot of syndicates, most of which are large and therefore usually have one or two shares going.
Or take my standard advice and spend £3-4k on a dirt cheap PFA single seater that'll cost you about £15/hr to run.
G