[tansoku]

I’ll take a stab at it:
Cheating a bit using Pokerstove, 36% of hands is about the range pflop you are talking about.
Any Axs, A4os+, any PP = 18.6%
So half the time he has a hand that calls your turn raise.
Board: 2s 7c 7d 2c
Dead:

equity (%) win (%) tie (%)
Hand 1: 86.4601 % 83.18% 03.28% { 22+, A2s+, A4o+ }
Hand 2: 13.5399 % 10.26% 03.28% { Jd9h }

Pot is 5.5 BB + 1 (his bet) = 6.5 BB

.5 x 6.5 = +3.25 BB when he folds.

You gain 3 bets on the river when you improve (his turn call + river bet/raise call), lose your turn raise 2BB when you don’t:

.135 x 9.5 = +1.28 BB
.865 x 2 = -1.73 BB

EV = -.45 BB

But this only happens the 50% of the time he has a hand that calls the turn raise so:

.5 x .45 = -.23 BB

Net = 3.25 - .23 = +3BB

Note that if he folds the river UI (when you improve) your EV drops to 1 BB vs 1.28.
Getting him to fold is huge….