Understand what is happening, and you'll understand why you DON'T want to do that.
The trim alarm is telling you that the pitch servo is having to apply a great deal of force to keep the plane on altitude. That means you are placing great strain on the pitch servo, and it will fail much sooner.
In addition, if you fly along in an untrimmed state (which, by definition, you are if you're getting the alarm) even intermittently sounding, then when you disconnect the A/P, you'll have a very sudden and often dramatic pitch excursion (up or down, depending upon the direction of the mis-trim). At best, it's disconcerting, but could easily be dangerous - maybe put you right into a stall. It's even worse for your situational awareness if you have it occur in IMC.
Proper practice is to get all trimmed for altitude, power and speed and, when the plane is finished stabilizing at the proper speed and attitude for the altitude and power, only then engage the Altitude Hold. In my Bonanza, that usually means about two minutes of steady acceleration and small trim tweaks prior to engaging ALT, and even then, "i'll disconnect the Altitude Hold a few minutes later for the purpose of fine-tuning trim.
If you've ever priced overhauling an S-Tec servo, you'll get it!
