After re-reading you post i guess my previously post wasn't the right answer
to your question. i guess the front and backside of the textobject should
stay with the ice texture? then i'd do it that way:
create the textobject with a gradient y texture with your ice and your
snowtexture and transform it that way that the upper half is covered
completely by the snowtexture and the rest by the icetexture. afterwards
intersect it with a box (with the icetexture) that is bigger in y and x
direction but smaller in z direction (assuming that the text goes from -x
to x with y upwards).
That should lead to your wanted object i guess.

Regards Roman

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