I've had success with mixing strawberry jam to my Swiss Meringue Buttercream (SMBC) before :) good luck!
If you are in the USA:
CK Icing Fruits
or strawberry sleeve filling
https://www.amazon.com/Henry-Strawberry-Pastry-Filling-Pound/dp/B0008D6XCS
CK Icing Fruit in Red Raspberry is my favorite, but the strawberry is pretty good. Icing fruit is similar to a cooking "reduction" in that it imparts the flavor and color without adding additional liquid to your buttercream or ganache or cake batter. If you use CK icing fruit, be aware that it contains tiny bits of the fruit and WILL clog icing tips if used for piping.
Strawberry sleeve filling is more readily available, less expensive, but will add a little bit of extra liquid into your buttercream/ganache/batter.
Both products are shelf stable.
CK Icing Fruits were always my go-to for flavoring icing (and cake.) It would be easy to dye strawberry icing green for the grass. The problem is that the icing fruit has pieces of fruit in it, and those will clog up the grass tip. You might just have to use strawberry flavoring.
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