I have some tips for Strip Lucky. It depends on who's going first. I think personally it's better if you're opponent goes first, so you can react by capturing their cards safely. Use a card that will overtake the first one, but not too strong that you'll struggle to eventually take it back.
If you go first, put down a card in the middle of the board, as your opponent will almost always capture it, then capture it back. What you want to eventually do is that when you capture a card, there will be no more spaces for the card you captured to be taken back (i.e. 2-3 cards for each side exposed). I call this "Locking-in" a card, as that card will be forever a point for you. As for the randomizing tokens, they're good for the first move for your worst card. If it's a -1 or -2, it'll make good bait for recapturing a weak card, if it's a +1 or +2, it'll be more difficult for your opponent to capture that card, and if they do, they'll probably be using a high number card (7-10) that probably has weaknesses to it's other sides, prime for a counter to your score.
An Ideal situation would be that the opponent has left a spot open so that you can capture two cards at once. Use strong cards like Tristan & Hector or "all-rounders" like the Purple Dark Knight or the Foxes for these situations so that you get an advantage even if your opponent counters the capitalizing card. Keep in mind your cards' weaknesses while doing these strats, as having too many strong cards that attack to a certain direction can cause you to have a lack in diverse abilities.
As well as keep a lookout on your level. when you reach level 13, you can start snowballing all the mid level characters until basically level 20-ish.