Usually, mannlicher stocks affect accuracy due to the muzzle cap contacting the barrel therby creating a pressure point when it gets warm from firing the weapon. Although I have always liked the look of these stocks, they are not my choice when it comes to accurizing a rifle cause of the problems with barrel contact. That is why a person beds a rifle in the first place.......accuracy.
It is not impossible though to achieve an accurate rifle with a mannlicher stock, it just requires a lot more work and attetion to some details.
You would start by bedding the action as normal, after that was done, free float the barrel on out to the fore end cap. The cap would have to be firmly attacked to the stock and the clearance hole for the barrel would have to be opened up as to prevent it from contacting the barrel. I've seen some mannlicher stocked rifles that have wood on top of the barrels as well and these would have to be attached to the stock as well and yet be removable in order to allow for dis-assembly. they would also have to be modified so no contact with the barrel was present, the stock, out near the muzzle will end up quite thin and will flex under pressure when using a bench rest due to the weight of the rifle so this will have to be taken into account when determining the amount of gap when floating the barrel as will any downward pressure applied to the fore end via the use of a sling.
There are many ideas about pressure points in the fore end being a benefit or a hinderance. I have bedded a great many rifle in my time and have found only one that required a pressure point in the fore end to make the rifle group better and it was a prototype titanium rifle......titanium just isn't suited well for manufacture of major rifle components.
If you feel confident in your ability, then you are set to proceed. I usually use a product called marine-tex for bedding compound as standard fiberglass resins are not well suited to bed a rifle as I have come to find out. Johnsons paste wax is an excellent release agent as you don't have to apply it very thick at all, just a thin film coating does the trick.
Take a long look at the stock and decide how to proceed before tearing into it, make some notes if necessary just to keep things straight and take your time.
Hope this helps......good luck.