Okay...here are a few places to choose from. These are close to everything and pretty close to the beach.
Alister Square Inn
122 S. Alister
Port Aransas, Texas 78373
Phone: 361-749-3000
Toll Free: 888-749-3003
America's Best Value Inn
306 S. Alister
Port Aransas, Texas 78373
Phone: 361-749-5450
Beachgate CondoSuites & Motel
2000 On The Beach
Port Aransas, Texas 78373
Phone: 361-749-5900
Toll Free: 866-749-2565
Harbor Inn & Suites
105 N. Alister
Port Aransas, Texas 78373
Phone: 361-749-5572
Plantation Suites
1909 Hwy 361
Port Aransas, Texas 78373
Phone: 361-749-3866
Seabreeze Suites
P.O. Box 1541
407 Beach St.
Port Aransas, Texas 78373
Phone: 361-749-1500
Seaside Motel
P.O. Box 529
841 Sandcastle Dr.
Port Aransas, Texas 78373
Phone: 361-749-4105
Toll Free: 800-765-3103
Shark Reef Resort
314 Cutoff Rd.
Port Aransas, Texas 78373
Phone: 361-749-6993
Tropic Island Motel, Apt. & RV Park
P.O. Box 748
315 Cutoff Road
Port Aransas, Texas 78373
Phone: 361-749-6128
The Tarpon Inn
P.O. Box 8
200 E. Cotter
Port Aransas, Texas 78373
Phone: 361-749-5555
These are all pet friendly. Places are filling up fast, you may want to call around and reserve your room soon.