Recommendations for new shoes please.

If you like the fit of Specialized shoes, how about a pair of S-Works 6?

I've had a pair of S-Works 5 for three years now - they are light, comfy and durable. I wear them in all weathers, rarely with shoe covers, and they still clean up as good as new (apart from the soles, obviously).

anything from Lake, very good shoes and excellent customer service. They will be at the top end of your budget though. Or as someone mentioned above, you wont go far wrong with wide fit shimano in my experience.

If you're wide go for a shoe with two Boas. A single Boa won't spread the lace pressure evenly enough, at least in my experience, and you might end up with hotspots or numb toes. Particularly since you're coming from three strap shoes. 

When I was looking recently I wanted to try some Bonts but couldn't find anyone local who stocked them.

Northwave have also been mentioned but I found that they weren't big enough volume-wise for the top of my foot - I had to go up three sizes(!) to even get my foot into them.

There's also Lake but they seem to think that if you're wide you can have any colour as long as it's black.

Northwave do wider fits and they’re Italian if you want that! I have wide feet and they work fine for me

Shimano do a wide fit.  The RP7 should be in your price range and fit's your criteria.  Mine are comfy.

I have some Bonts & I'd highly recommend them. Stiff sole but still comfy although the supplied insole is so thin you can feel the cleat screws through them so I have a Superfeet imsole which does the job.