I'd be curious too: a Te Deum paraphrase would seem to fall under Here a hymn may be sung (never come across the Anglican devotion before!) or Gegebenenfalls können währenddessen Akklamationen gesprochen oder gesungen werden..

There being several Spanish versions, it might be interesting to start a tradition of ending quinceañeras with "Grosser Gott, wir loben dich" as well.

The ordo for solemn exposition of the Holy Eucharist states n.149 "The deacon (or in his absence, a priest, even the presiding minister) removes the blessed sacrament from the monstrance and places it in the tabernacle." n.150 "Meanwhile, the people may sing an acclamation or another song, or instrumental music may be played. The ministers then depart."

So from this I would conclude that it could be any Eucharistic Hymn.

FYI, through that link a 4 dollar edition is available used plus shipping.

I don't think there is a particular law about what hymn should follow reposition. Correct me if I am mistaken.