Okay. After thinking this matchup over, I am actually going to go with Rago and Nemesis on this one. Please forgive my ignorance due to not knowing Alice but based on their pages here's why I believe Nemesis wins it for Rago.
First, it's debatable but making bey regen feats mid-godly for arguments sake would imply Nemesis could have a chance at killing her given it stomped the living crud out of L-Drago and several other Legendary Blader beys to the point where they couldn't continue fighting (their bey spirits were in-tact, but not for combat, hence why they were given to Gingka and Pegasus who could continue fighting). But this is debatable and it isn't the main reasoning for my vote so i'll leave it at this.
Second, Nemesis appears to have a FAR better versatility hax arsenal than Alice. With having the powers of all beyblades, Nemesis can pull off hell of a lot of combos to pull a fast one over Alice. Even with just his own hax, Nemesis could simply absorb her soul and/or herself, Nemesis's power absorption would take not only her strength and abilities for itself, but also any other Low 2-C's shes fought with in SMT (IF any, otherwise just her), destroy her soul via lacking resistance to neither soul manip or durability negating, Nemesis's passive barrier around itself can defend against a lot of what Alice can pull off, bind her with telekinesis, use mind and emotion manip on via her lacking resistance to either one, Nemesis's precog would allow him to see pretty much all of what she'd do (and his precog can go as far as at least thousands of years), likely has intangibility if its in God of Destruction form with Rago so that stops some stuff, Nemesis at least has the powers of the Legendary Bladers here so it can replicate darker versions of their beys spirit forms to use as weapons meaning Alice has like 11 more opponents (also having their regens) for her to get by before even facing Nemesis himself too. And this isn't even factoring in all bey abilities, which spreads out Nemesis's hax arsenal to ridiculous degrees.
Third, Nemesis's stamina would drastically outlast Alice's in this battle. Her stamina is only high in the superhuman range. Nemesis alone is a stamina type beyblade so that already gives him high levels of stamina and with powers of Yu's Libra and Chris's Orion at its dispoal, Nemesis not only has a limitless supply of stamina but can also drain away at Alice's until she's unable to fight anymore.
The only things I see Alice could hit Nemesis with (assuming it doesnt get them itself first) is her Probability manip, which shouldnt do much when its only used to increase the chances for her attacks instead of decreasing Nemesis's chances of using his stuff. Her stat boosting might have some effect, but even if it did, any debuffs against Nemesis can be easily restored via its Centrifugal force manip, which in the Beyblade verse is literal energy that increases all stats on a bey.
TLDR: My vote is for Nemesis and, unless someone could explain more for Alice, quite handily for him and Rago too.