What is a good remedy to rid a bunch of itchy, swollen mosquito bites received while on vacation?

Anti-histamines etc.: For bug bites, one can take over-the-counter claritin, zyrtec, or Benadryl (diphenhydramine) to block histamine, which causes itching. Putting Hydrocortisone 1% cream 2-3 times a day on the bites for about 5 days will help them go away. For more itch relief, one can put an anti-itch gel such as "itch-x" on the bites. Itch-x has an anesthetic to numb the itch. If bites are growing or painful, a doctor can evaluate.

Oral enzymes: Insect bites that persist are due to a reaction ti the bites. Assuming that the bites are not infected, individual reactions vary. I have found oral enzymes such as bromelain- pineapple enzymes, useful in helpful in resolving persistent insect bites faster.