"The Best British Poetry 2011", recently published by Salt, copies the US version conceptually and visually, with nearly 40 pages of notes. It's edited by Roddy Lumsden who's been in Poetry quite a lot of late. He picks solely from magazines (both paper and online - "Shadowtrain", "Ink, Sweat & Tears", "Horizon Review", etc), taking 8 poems from Poetry London and 5 each from Iota, Magma and Rialto. Agenda did well too (so Maryann, it might be worth persevering). No poems from the TLS (nothing took his fancy) or LRB (not many UK poets). Having glanced through it I think it gives a fair impression of what's happening in the UK, and may help you decide where to send your poems. Yes, several poems rhyme. I think it's now available in the US at
Amazon