Is this a good spot to snow in 2-7 TD?

[Tom Bayes]

This hand came up in a 2-7 Triple Draw tournament. Villain was pretty straightforward tightish-passive player.

Do you like or hate my snow?

Triple Draw 2-7 Lowball Limit ($100/$200) (converter)

Hero ($2560), Seat 3
BB ($3390), Seat 4
UTG ($690), Seat 5
CO ($3080), Seat 6
Button ($2115), Seat 1

Button at Seat 1.
Hero posts $50. BB posts $100.

Hand: [Qc 2h As 7s 3c]

Round 1: (1.50 SB)

<font color="green">UTG calls. </font><font color="#666666">CO folds. </font><font color="#666666">Button folds. </font><font color="red">Hero raises. </font><font color="#666666">BB folds. </font><font color="green">UTG calls. </font>
Hero discards Qc As. UTG takes 1.

Hand: [2h 7s 3c 2d 7d]

Round 2: (5.00 SB)

<font color="green">Hero checks. </font><font color="green">UTG checks. </font>
Hero discards 2d 7d. UTG takes 1.

Hand: [2h 7s 3c 2s 7h]

Round 3: (2.50 BB)

<font color="red">Hero bets. </font><font color="green">UTG calls. </font>
Hero stands pat. UTG takes 1.

Hand: [2h 7s 3c 2s 7h]

Round 4: (4.50 BB)

<font color="red">Hero bets. </font><font color="#666666">UTG ???. </font>