The same RadioButton control in different places of Manipulate

Question

I would like to place the buttons of RadioButton control in Manipulate not in row or column close to each other as usually, but in different places of Manipulate. Here is reduced example wherein CheckBoxes placed in diagonal line in Grid, but I would like to place their the buttons of the same RadioButton control. Is it possible?

Manipulate[Plot[Sin[a x + b], {x, 0, 6}],
 Grid[{
   {Control[{a, 1, 10}], Control[{as, {True, False}}]},
   {Control[{bs, {True, False}}], Control[{b, 1, 10}]}
 }]
]

Answer 1

Here is the solution proposed by Kuba

Manipulate[
 Plot[Sin[a x + b], {x, 0, 6}],
 Grid[{
  {Control[{a, 1, 10}], RadioButton[Dynamic@bs, False]}, 
  {RadioButton[Dynamic@bs, True],Control[{b, 1, 10}]}
 }]
]