I see two possible sources that could account for your pre-lunch 88-133 mg/dL rise. First of all, your liver regularly releases glucose. This is how our bodies meet the essential glucose needs (like for the brain) when we are sleeping or otherwise fasting. In a non diabetic the insulin release prompted by a meal will inhibit the liver's release of glucose. Unfortunately, as PWDs, sub-q insulin does not produce the same effect. The purpose of basal insulin is to metabolize this liver glucose release.
Secondly, if your meal did indeed have no carbs, your body will convert some of the protein and to a lesser extent the fat into glucose via gluconeogenesis. I usually deliver an extended bolus (often over three hours for me) via a pump to counteract this phenomena. The quantity of protein and fat in your meal will affect your post meal BGs and for me determines the time duration of an extended bolus. If I were not on a pump, I would be tempted to experiment using old fashioned Regular insulin to dose for protein and fat. Or you could take a second dose of rapid acting insulin some time after your meal.
Your numbers, however, are not very far off a reasonable target. Whatever you do at this point, I would recommend small adjustments and keep a written record to inform your tweaking.
Are you using low-carb to lose weight? A year ago, I lost over 20 pounds by limiting my carb consumption to 50-70 grams per day.