Estimating number of blackjack transactions??

I have a dilemma around calculating a blackjack number and think this forum is my only hope (I can't model it myself!)

I'm trying to answer the question: How many transactions can I expect to see on average in a game of blackjack where a transaction would be:

1) Start game

then potentially based on what you are dealt:

2) Take insurance
3) Split
4) Double

and finally I only need to count transaction where we win the hand so:

5) Win %

Ideally I'd like to be able to calculate the average transaction both under normal conditions say if I played basic strategy and then say to calculate on the more cautions side to work out closer to a maximum (if I gambled it up) - or maybe be able to say so many SD's from the average?

Has anyone published anything like this before?

My rule-set proposal is:

• Dealer stands on soft 17
• Blackjack payout ratio: 3:2
• Number of decks: 4 (reshuffle after every round)
• Insurance is available:
o Dealer peeks for BJ on a first card Ace after insurance is accepted/declined
o Insurance stake is 50% of the main bet stake
o Insurance payout ratio: 2:1
• Doubling is available:
o Only on 9-11 hand value
• Splitting is available:
o Only cards of the same rank can be split (e.g. No splitting of 10 & queen)
o Splitting is only allowed once
o No hitting on split aces
o Doubling on split is allowed
• No surrendering