@Joe DeSimpliciis; Welcome to Bigger Pockets! Before I provide answers to your questions, I want to provide a disclaimer that I am not an expert & am only providing my experiences as answering your questions. Individual results may vary.
How often did you travel to explore prospective neighborhoods?
I buy in neighborhoods that I know, & already have resources. Travel has never been just to look at property.
How did you manage the budget for these trips?
When I do look at property, I am already in the area for another reason. Property review has always been secondary. Perhaps I'm visiting, staying for vacation, or a perspective area is in between two points of travel.
Does your job give the affordance to work remotely while on the trip?
Yes.
Do you try/are you able to group multiple property showings together for a single trip?
Always. When I am going to view property while I am on vacation, I will sometimes set aside a day to just travel around & look at property. Generally I have a few in mind, but have also asked the agent for a few recommendations as well.
Wishing you the best of luck!
As someone else has already suggested David Green's book, I will follow up with recommending Bigger Pockets episode #301 :
https://www.youtube.com/watch?v=3OOl59e2WfI