It all depends on what your requirements are based upon given your specific needs and what body of water you'll be using it on.
The TI is a relatively large kayak, it takes a lot to propel it. A smaller trolling motor should provide ~3 MPH while a larger one might provide up to ~4 MPH or perhaps a bit more. You may need to change to a prop more suitable for efficient propulsion rather than for trolling though.
The range depends upon the battery and how fast you wish to go. The 35 Ah Lead Acid battery might get you around 4-8 miles at moderate throttle, the 65 Ah battery
might get you 10-15. Due to all the varying factors, you really won't know until you test it. If you have all the key specs for the motor and battery, you can at least calculate the theoretical range.
This is all in relatively calm water. If you ever find yourself in heavy currents or waves, the motor might become overwhelmed. If the forward speed goes below 2 MPH, steering will become adversely affected. Don't ever rely on only a trolling motor in rough conditions. Trolling motors were designed for fishing, not for reliable forward propulsion. It's always iffy to use a motor for something other than what it was designed for.
A 2.5 HP Suzuki gas outboard will reliably propel you up to 7 MPH. Its range is only limited to the amount of gas onboard. You can easily stow a gallon of gas on a TI in
small fuel bottles. One gallon of gas will give you a range of around 25-35 miles or more depending upon how fast you wish to go. It will continue to propel you in rough conditions and you can rely on it to get you safely back to shore. Its capabilities far exceed those of a trolling motor for reliable forward propulsion.
So, again it all depends upon what you're looking to get out of the motor option you choose.
I understand that money is a concern, but for the money vs performance, the Suzuki really can't be beaten. The primary downside IMO to the Suzuki is the noise. Some people don't mind it while others may find it tiring. Gas motors can be tedious compared to quiet, clean electric motors.
Unlike trolling motors,
Torqeedo electric marine motors are specifically designed for boat propulsion and will work much better than a trolling motor for this. However, I fully understand if they are too expensive for your budget, a lot of people feel the same way. Cost is the biggest disadvantage of the Torqeedo option.
The downsides to your trolling motor propulsion setup are the lack of power, the lack of range, and the relatively poor performance and weight of a lead-acid battery. You can fix the battery issue though. You would get twice the power, twice the range, and twice the life out of a
12 Volt LiFePO4 battery and they're half the weight. But yes, they cost considerably more.
It's hard to power any boat on a low budget. If money is the key factor, then the Suzuki is still your best option as it gives you the best overall performance for a reasonable price that most TI owners should find affordable. Additionally, the installation and use of a 2.5 HP Suzuki gas outboard on a TI are well proven from many TI owners' experiences (including mine) and relatively risk-free. So, given your specifics, that would be my recommendation.