Since you'll be doing it old skool non-aero style below is some aero savings data to help adjust your times. FWIW breaking an hour can be tough on a non-aero/speed optimized equipment. The best old skool TT I ever rode was 56:32 at 20yo which was 3rd at the CA state championships ~25 years ago. I recall in the early 80's before aero the 40K US TT record was ~53(?) As a reference at 44yo I rode 52:28 full aero(wind tunnel positioned) which didn't put me in the top 10 at masters nationals. In TTing today you can't buy a victory but you also can't be competitive without deep pockets.
Try breaking an hour and go from there. A 15min 5K is a far cry from 60min at threshold. Since you are not training for the stochastic side of cycling try working on 20min threshold repeats.
Good Luck!
Summary of Rank Order for Projected Improvement (-) or Degrade (+) in 40KM TT
Novice 20.4mph Trained 25.4 mph Elite 28.6mph
Baseline 40 KM Time: 72:56:00 58:35:00 52:02:00
Position Aero Bars/Optimized -2:32 -2:06 -1:53
Training Method -5:36 -2:00 -1:02
Bicycle (TT Specific) -1:44 -1:26 -1:17
Caffeine -1:24 -1:03 -0:55
Wheels Std 36 Round Spoke vs. Aero +1:22 +1:07 +1:00
Carbohydrate & Water Drink -0:42 -0:36 -0:32
Altitude Training -0:34 -0:26 -0:23
Reduce Body Weight(-3kg) -0:25 -0:21 -0:19
Reduce Bike Weight (-3kg) -0:13 -0:07 -0:05
Aero Equipment From (Original) To (New) Drag Difference (G) Time Saved In 40km ITT (Seconds*)
Speed Suit Road bib and jersey Nike Swift (Not std skinsuit) -289 134
Body Position and Aerobars Upright, on bullhorns Normal tuck on aerobars -262 122
Aero Helmet Road helmet Aero TT helmet -144 67
Body Position Normal tuck Tuned wind tunnel tuck -121 56
Front Wheel at 10-Degree Yaw 3-5 spoke Deep rim 12 spoke -90 42
Shoe Covers No shoe covers Shoe covers -65 30
Rear Wheel at 0-Degree Yaw Any full disc 3-spoke -63 29
Front Wheel at 0-Degree Yaw 24 spoke aluminum box-section rim wheel 5-spoke -50 23
New Aero Bike Frame Std tubing TT bike Aero tubing TT bike -36 17
Aero Helmet aero helmet Best aero helmet -29 13