Hi LittleBird you can definitely get slime liners for a road bike. Giant Avail, nice - is that the Avail Advanced. Seriously though before going to slime I would look into it further. Unless you are riding on terrain really unsuitable for road bike tyres, you just shouldn't be puncturing that much I definitely am on the same page as MartianDestiny on this one you need to check your rim thoroughly and your rim tape to start with. When I am uninjured and on the bike I do about 350-400kms (218-248mi) a week and hardly ever (ever ever) puncture. About 2 in the last 12 months and I dont use slime either. If you are unsure of checking your rims and tape you need to make friends with a really good bike shop.

Failing that I am flying to the UK at the end of June and will be in Birmigham are you anywhere close to there? Am brining my bike with me so if you know of good places to ride let me know.