Recommendations for Polos and Short-Sleeve Oxfords with Pockets

Price Point: ~$100 Location: US Prefer to buy new; prefer to order online Hi MFA. I am shopping for my dad who likes to wear polos and short-sleeve oxfords with a chest pocket, and could really use some help identifying brands or retailers that are lesser known. He is 5'4, wears a size medium and prefers a classic fit to something more tailored. He mostly wears these around the house or on the weekends, so comfort is key. I normally buy him shirts from L.L.Bean and Banana Republic, but wasn't sure if spending more would actually be meaningful here, or have diminishing marginal returns above a certain amount. Thanks in advance for your help!