There aren't that many Lloyds' Syndicates that cover light aircraft, so whichever broker you use, it's likely you'll end up with WAIG.
I'd recommend calling round for a few quotes, and ask which syndicate they're using. Some will tell you there's no point in asking for quotes, but that's wrong. Our last renewal got quotes ranging between £1,400 and £3,100.
We ended up with M P Bolshaw, and are happy.