no lip stick just wear chap stick or lip gloss even lip balm lip stick is to heavy on lips and there already giving you problems if i were you just stick to chap stick
try the isadora lipsticks and lip glosses. you can only find this brand of makeup at walgreens. its all hypoallergenic and it does not cost a fortune, this is a department store brand from sweden and is very popular all over europe. trust me, its comparable to any makeup that you will find at a department store here in the U.S. at a much more affordable price.
all of clinique and almays makeup is hypoallergenic. their plenty of others as well but i wanted to give you one department store and one drugstore. if they still blister afterwards, then see a dermatologist. also makesure its not from food allergies or anything of that sort. good luck!
And don't wear cheap, $1 lipsticks, because those are not made with quality ingredients.
Make sure the lipstick does not have petrolatum or mineral oil in it, that could irritate your lips too.