To delineate the nuances of flying from Austin, Texas to Provo, Utah on Allegiant Airline, one must first comprehend the distinct features of the airline that set it apart. Allegiant Airline, an American discount carrier, centres its business model around smaller airports which often leads to cost savings for passengers, albeit with some distinctive caveats.

Starting with the focal point of the journey - Austin-Bergstrom International Airport (AUS). As a renowned international terminal, Austin airport hosts numerous airlines, among them, Allegiant Airline has carved out its niche. The airline operates from the South Terminal, a separate entity from the main airport, which echoes a more tranquil, conventional flying experience strategically devoid of the usual frenetic hustle and bustle.

Moving on to the flight itself, Allegiant's approach is no-frills, implying that the fare you pay primarily includes transportation and a personal item. However, for some travelers, this could translate into an opportunity to customize their journey. For instance, selecting preferred seats, pre-booking checked luggage, and including onboard amenities are all possible, subject to additional charges of course. Analyzing this, one can notice that the key to unlock a preferable journey with Allegiant rests on acknowledging its à la carte model.

On the topic of amenities, the service and comfort largely follow the airline's utilitarian ideology. Food and drinks, inclusive of water, are available for purchase. Similarly, while other air carriers have embraced technology with seatback entertainment systems, Allegiant treads a different path. Here, carry-on entertainment, such as books or downloads on personal electronic devices, take precedence. This could be viewed as an invitation to curate one's personal entertainment, again in line with the underlying philosophy of customization.

Provo airport (PVU), the final destination of the journey, is an insightful mix of functionality and location-based strategic benefits. Although small in comparison to other terminals, it compensates with quick processing times and fewer security check crowds. Geographically situated around 8 miles west of Provo and around 38 miles south of Salt Lake City, it provides convenient access to significant neighboring areas. This allows travelers significant liberty in planning their travel itinerary post-flight.

Lastly, nuances like Allegiant's no-cancelation policy, the likelihood of less frequent flights, and the carrier's preference for operating in warmer months should condition travelers' preparatory measures and expectations. To combat these potential incongruities, timely bookings, contingency plans, and flexibility become essential.

In conclusion, the journey from Austin to Provo on Allegiant Airline is an experience painted with strokes of strategy, customization, and understanding of the airline's distinctive approach. It's a journey where the traveler is the architect, possessing the potential to shape their experience largely by their choices. Thus, to extract the maximum satisfaction, travelers must view these characteristics not as restrictions, but rather as drivers compelling an orchestrated approach towards travel planning – thereby making the journey truly their own.