My best guy friend just got married in Vegas in June.
Vegas offers the gambit of options. They got married in a little chapel down town. It wasn't a drive through, but was quick. Nice but quick. They had another couple waiting in the time slot right behind them.
They choose a restaurant in town to have the dinner reception. their wedding was no more than 20 people total.
Alot of the hotels offer packages with reception included. Most have some pretty tight time constraints but it still offers all the traditional trimmings.
You could also get a suite and have the reception there with no time constraints.
We (DH and I) actually went to Costco and got roses and the cake for them. I was able to call and fax them my order and they had them waiting

The flowers were just a gift from the groom to his bride. Their package included bride and groom flowers, but Costco is a great option if you have the time and inclination to DIY.
Las Vegas really does offer just about anything your heart desires in all budgets. They have some great off the strip locals for wedding too... ya know where the locals get married
Congrats on your daughters engagement!!