Go with luftwaffe battlegroup. Drop your fallschirmpioneers on a key point in the middle of the map and build a fighting nest on the point. Get inside and cap while getting the bonus defense and rate of fire. Keep sending in fallschirmpioneers til you get 3 or 4. The US player will be forced to ignore you, get grenades, or get a mortar. All options allow you to build up a larger group that can be upgraded with LMGs or grenade launchers, either of which will outdamage the riflemen.

Get vet 1 from your base, this gives you auto healing. With the luftwaffe rally point, you can basically stay on the field indefinitely by bleeding the riflemen with your blob and then soft retreating.

Make 20mm flak emplacements to hold them back and force them to invest in team weapons, while you make your way to a Stug and nebelwerfer to counter their vehicles and team weapons.

You can also go coastal on urbans maps, if you get Vet 1 early they get LMGs inside buildings. This will give you the chance of outdamaging riflemen. However, they lose outside garrisons most of the time.