We stay in Beaumont a few times a year while visiting family, and the last three times have stayed at Elegante. Yes, it is an older hotel so you will see rust here and there, but the rooms are always spotlessly clean, the beds are comfortable, and there is plenty of room to move around. The staff are friendly and efficient, always with a 'good morning' or 'welcome home'.
But honestly my favorite part is the restaurant food! We've never actually eaten in the restaurant, just ordered while sitting in the bar. I highly recommend the club sandwich. One of the best I've ever had! The complimentary breakfast buffet is pretty good too.
Overall, if you're not expecting "luxury" (let's face it, that doesn't exist in Beaumont) then Elegante is a solid choice.