Scotland will resume on Wednesday in Aberdeen on 22 without loss after bowling the visitors out for 183.
Carter got Scotland off to a great start with two wickets in the first seven overs and accounted for top-scoring Kenyan batsman Tanmay Mishra, who was caught out for 59 by Kyle Coetzer. Carter's impressive figures of three for 37 were complemented by Taylor's three wickets in eight overs.
Ian Wardlaw, whose bouncer had earlier broken Morris Ouma's helmet, added to his four wickets in Scotland's 12-run victory over Kenya on Sunday with a yorker to bowl out Nehemiah Odhiambo and end the Africans' innings in the 47th over.
Coetzer hit two fours as he struck 20 of Scotland's runs before rain came down in the seventh of 50 scheduled overs with play at Mannofield eventually postponed until Wednesday.
Scotland sit third in the table behind Holland and Ireland, who meet twice in the coming week, with the top two guaranteed qualification for the 2015 World Cup.