The Dominicans (and other religious orders) have a special form of the Regina cæli for Ascensiontide: they sing, not Resurrexit, sicut dixit, but Jam ascendit, sicut dixit - "Now He's ascended, as He said" (not "Jam's gone up"!). These words, having the same number of syllables as Resurrexit, can be sung to the same tune.
As a private devotion, very suitable for Ascensiontide as we make with all the Church the original Novena and await the Promised Spirit, one may add a modification of the usual versicle ("for the Lord hath truly ascended"), plus an appropriate collect from the 1738 Paris Missal (for Friday after the Octave of the Ascension), as follows:
Regina cæli, lætare, alleluja:Quia quem meruisti portare, alleluja:Jam ascendit, sicut dixit, alleluja:Ora pro nobis Deum, alleluja.V/. Gaude et lætare, Virgo Maria, alleluja.R/. Quia ascendit Dominus vere, alleluja.Oremus.Deus, qui nos Resurrectionis et Ascensionis Dominicæ solemnia celebrare fecisti: da famulis tuis, ut et advenientis Spiritus sancti gratiam purificatis mentibus suscipere mereamur. Per eumdem Dominum... in unitate ejusdem Spiritus...(God, Who hast made us to celebrate the solemnities of the Lord's Resurrection and Ascension: give unto Thy servants that we may also deserve to receive with pure minds the grace of the promised Holy Spirit. Through the same our Lord... in the unity of the same Holy Spirit...)