Hiya, and welcome to the forums (since this is your first post).
I'll try and address all your queries...
Since you haven't indicated where these deck recommendations came from, I'd suggest you start by looking
here. See if your card pool can handle anything there.
For a particular strategy to a deck, you'd have to post the deck itself. I can't say much else, since there are many decks which can grind AI4, and I won't list all of them here.
Once you get to know a deck, you would be aware when a bad draw occurs, so it's likely not that - unless you played just a few games with it.
You don't have to "remember" any deck, when you want to use it. Simply copy the deck code from the game, onto a text document, and label it (like; Mono-Death, Time-Triple, Creature Rainbow, My Current HB Grinder, etc.). Then you can choose whichever you want - when you want. Later on, if you want to organize them better, you can use the Deck Manager, under
Elements Tools.
For anyone to suggest a deck to you, we have to have an idea of your (current) card pool. Which ones are upped, how many, etc. Take a look at the thread I pointed to above, and gauge what you can reasonably make there. Not all cards need to be upped, but it helps tremendously against Half-Bloods (un-upped decks can grind Bronze arena fairly well though).
You don't have shards nor nymphs; then I would suggest you start farming the arena for some shards, namely Bronze. It is easier than farming Half-Bloods, by the way. Nymphs will come, eventually, through the daily Oracle fortune spins.