The Virgin service from MKC at 1050 reaches Manchester Piccadilly (MAN) at 1228.
You can get to MAN by 1159 on the LNWR service from MKC at 0919, changing at Stoke on Trent (SOT) at 1102 and onwards by XC/VT (dep 1120/1125 resp).
Doing that, you can get the LNW-only Off Peak Return MKC-SOT at £35.50, and an Off Peak Return SOT-MAN at £17.10 (cheaper for a day return or if you limit yourself to XC or VT services). An Anytime return is only £20.
You would be tied to the same route southbound, but very few restrictions (leave MAN after 0930 on the Off Peak Return).
Times are MAN VT xx35, arr SOT xx10 dep LNWR xx28, MKC arr xx14 (2h39m).