I think the overall strategy amounts to the same thing. Only the terrain causes you to make adjustments. When I mention terrain here, I mean the folds of the land, buildings, forest, visibility and the weather.
Advance along your entire front with scouts. Vehicular scouts are particularly handy in open terrain and usually along the flanks of your advance. Infantry scouts do better in close terrain and forward of your advance.
Stagger your support/advancing units (vehicles and/or infantry) behind the scouts at a distance that is appropriate to the terrain situation. That is, closer in in tight terrain, and further back in open terrain.
The idea here is to 'trip' up the enemy to reveal his units at a point where you can bring in decisive response on your following turn. When the enemy first gets a sense of your presence. Either visually or through his 'willy meter', he's going to tend to slow down his advance so as not to be caught in a pincher counter-attack.
Capitalize on this by drawing him forward through the scout screen and then attacking en-mass with combative units. Leave a reserve to repeat this process after his inevitable counter-attack. After two resounding SMACKS like this, he'll probably be reeling.
Remember that Smoke doesn't last usually longer than six turns. This gives you plenty of time to adjust your defense to the fairly obvious line of advance your opponent has decided on. Once it's disappated, you should be in a position to retaliate at a range YOU choose. The counter suggested earlier of smoke and HE on the OTHER side of the VHs is excellent. This will cut-off his long range support into the battle area too. And your smoke will last just a bit longer than his.
Another note on smoke. I've done this quite successfully several times, particularly in Assaults. Smoke two or three avenues of advance simultaneously. Only advance in force along one avenue, and send small decoy forces along the others. Maintain the appearance that you've divided your force among multiple avenues. The enemy will likely divert his attention to one or more of the avenues that's not being used and thereby dilute his effective resistance. You can't be everywhere at once, but creative use of smoke can make it appear that way.
Use your Scouts for SCOUTING ONLY. They are not very good at combat, 'cause that's not their MOS. I always, ALWAYS set their Range to zero, and try to avoid direct contact with the enemy. When the enemy comes near, I might also turn their weapons OFF to further guarantee that they won't reveal themselves by firing at enemy units. Scouts are just little boys with Swiss Army knives and merit badge sashes. Try not to get them killed.
Once the Scouts are in position, they can remain unseen by most enemy units (excepting possibly other Scouts). this way, you can get a good idea of what the enemy force is up to and respond appropriately. lnfiltrators are also good in this capacity. Let them hunker down behind enemy lines and feed you intel on enemy troop movements and reinforcements.
Mislead and Mystify.
"Always mystify, mislead, and surprise the enemy, if possible. "
- Stonewall Jackson
Me gonna try them first opportunity 
" Look alive!! Here comes a Buzzard"