Okay, guys. Some sort of a toy game here :)

Good friend of mine just come in poker and, after learning some basics, ask me for a departure point to actually start playing.
We decided to create good opening ranges and go from there.

When constructing UTG range, I talk a lot on overall importance to have balanced ranges, defending vs 3-bets etc and all over sudden realize I'm unable to put my words in reality from a very begining — creating "balanced" UTG range.
So here's what I do mean.

Just for a quick start we work out the following ranges (tight and loose):

So,basically, we do have 6% and 9% opening ranges for UTG, which I assume should be fine for the beginning.

Then, let's say we have BTN 3-bettor with 7% 3-bet and he is attacking our tiny vulnerable RFI, 40BBs deep eff.

Here it is where the problem arrives. Versus 2.5x 3-bet we need to defend at least 47% of our opening range to prevent villain from getting immediate profit. I assume we are 4-betting QQ+, AKo, AKs, and it should be 34 combos or 2.5% range.

The question are:
- what is — mathematically — the exact number of bluff combos we need to balance our UTG value 4-betting range?
- where we can get those combos, since for the tight 6% opening range, A5s are only 4 combos, which results very very poor value/bluff ratio for our EP 4-bets.
- what hands we can include in our bluff 4-betting range for the Loose range example?

Or just f* the idea of balancing and play with a gut? :)

Thanks in advance.