With a proper pedestal front rest, the stock is cradled and rolling during recoil is reduced. The rifle tends to recoil straight back. This helps with consistency which leads to smaller groups. Look at rests offered through Sinclair to see how technical these rests can get.
With bipods, they can wobble and bounce during recoil. The harder the recoil and surface, the more likely there is a bounce. This can lead to vertical stringing which is really bad for LR accuracy. Also, can make seeing your shot more difficult.
If you have a round bottom stock, the bipod may help these stocks roll less during recoil. Also, by using a muzzle brake, the bouncing can be reduced.
For the utmost in bench stability, the front and rear rests are the way to go. For field accuracy ie hood of your truck, the bipod is better then just your elbows.
Whichever you choose, practise,practise, practise so that you have the consistency to make the shot.
Also, your drop tables are going to be different depending on the rests you use. Make sure you confirm before your hunt.
Jerry
