As pointed out, Champlain max of 15 tip-ups and two handlines per person, and you can not bring smelt back on the ice...Better plan on jigging some smelt or perch up while on the ice...
There are no regulations on Burbot as far as size and limit...
Burbot can also be found in Island Pond, Salem Lake, Memphremagog, Moore Reservoir, and Lake Seymour...On inland waters you are limited to 8 tip-ups and two handlines...