Unless conditions change dramatically, you should be ok with the traditional route out over the Gaick to Tromie. There is a lot of snow high above you on the plateau but that shouldn’t be a problem as the outlook is for conditions to stay cold enough to keep it up there. The sudden thaw on Sunday past from rain and mild wind has long since run away to the sea and new snow is gathering again above 750m.
The descent at the end of your ride, down into the Tilt gorge is probably the technical highlight of the whole tour, so doing the route anti-clock would lose you this best section.
Pushing on as far as Glenmore campsite makes your first afternoon and evening a brute and your second, to Tomintoul, quite short. Surely dropping out of Tromie at Kingussie/Kincraig would make a better first day, then back into the woods at Feshiebridge next morning, to ride the Bothy Trail, Cairngorm Club bridge, Glenmore etc.
The singletrack on the west side of the loch at the Gaick Pass is sublime, don’t miss it. You can avoid a double crossing of the burn there to get to it, by bog-trotting the ridge at the top of the riverbank. Mucky, but quicker than crossing the burn twice.