Hi there and welcome to the mighty U of K, LOL! Where you are in Bedfordshire are loads of great "B" roads and if you pop into Northamptonshire we have some excellent ones too. A lot of the bike magazines test in Northamptonshire/Leicestershire/Cambridgeshire because there are some wonderful roads around here. You'll be really happy in Beds though, but be careful on our "B" roads. Country pubs are a great draw for everyone in the summer so you should watch out for drunken drivers on narrow roads with no markings. If you wear earplugs you won't be able to hear them coming so try to stay close to the verge when going round corners since many will attempt to use all the road.
If you want some good roads and a nice run out, go to Rutland Water near Oakham in Rutland. You need to go via Corby, out through Rockingham, to Uppingham and onto Oakham. The road between Corby and Uppingham is awesome, like a switchback with a good surface and beautiful scenery. You'll pass the Eyebrook Reservoir where the Dambusters' Bouncing Bomb was tested before devastating the Ruhr Dams in WWII. Also, the road out from Uppingham to Oakham is nice and fast with great sweepers and fast straights. When you get to Rutland Water you can relax next to Europe's largest man-made lake.
Historically, Northamptonshire has formed much of the history of England and you can combine some great rides with them. I suggest travelling to Rushton Triangular Lodge, in Rushton about 4 miles from Corby. Lyveden Byfield out towards Lowick off the A14 near Thrapston. Rushton and Lyvden Byfield are famous for being constructed by Sir Thomas Tresham who was one of the chief conspirators of the 1605 Gunpowder Plot. Sir Thomas Tresham built monuments that had hidden meanings that bore witness to his (illegal) Catholic faith. The Triangular Lodge has 3 sides, 3 doors, 3 windows and basically 3 of everything because it represents the Holy Trinity. Lyvden Byfield has a frieze along the top depicting the stations of the cross (the crucifixion and torture of Jesus). The real beauty are the roads and countryside. Also at Rushton is a great pub called the Rushton Arms which serves great food and is about 1/2 mile from the Lodge. Similarly, near Lyveden Byfield is the Snooty Fox at Lowick which does absolutely superb food.
For information, the Battle of Bosworth Field was fought in this area and it put Henry VII on the throne after the defeat and death of Richard III, ending the Plantagenet reign and starting the Tudor one. The decisive battle of the English Civil War was fought at Naseby, again in this area, where Oliver Cromwell took England into a Republic by defeating Charles I and the Royalists. Mary, Queen of Scots was imprisoned and executed at Fotheringay Castle and although that was destroyed in the Civil War, the Church is still there. The Falcon Pub is worth a visit there.
Rockingham Castle was where Charles Dickens wrote Bleak House (and is actually Bleak House) but it's famous for being a haunt of Robin Hood and the Sheriff of Nottingham. Going out towards Huntingdon is the River Ouse where you can rent a nice boat for a reasonable amount. Huntingdon is famous because Robin Hood was the Earl of Huntingdon.
In fact, where you are based gives you access to some great places, and some great roads. If you want any more advice or even fancy a ride out with a historica tour let me know! Have fun and remember to drive on the correct side!!