I like both, but for different reasons.
The Tele IMO is an incredible songwriting tool, especially if you get one without extra switching and stuff, because it gives you a good but simple palette of sounds that work well in basically every context without having too much stuff and giving you option paralysis.
The Strat on the other hand is more of a performance player, for when you have music that you want to pick up and play, because (IMO) it's a much more comfortable guitar that really just gets out of your way (especially the Superstrats and variants thereof I'm a big fan of). That's not to say a Tele is uncomfortable or hard to play, it's just that the slab body with no contouring and the different balance make it a lot more utilitarian.
In your shoes? I'd grab a higher-end Tele (the simpler design I think benefits from higher-quality woods and hardware a lot, and you'll be missing out in a cheaper model - American Standards are a pretty great model to go for) to use as-is and once I got comfortable with using it and wanted something a little different, I'd put together my own Strat. A good partscaster can be an incredibly versatile and personal instrument, and personally I think the Strat makes the best partscaster due to the sheer mountain of stuff you can put in them.
I will say too if you're an acoustic player you could pick up a used Am Standard and fit it with a piezo pickup to bridge the gap while you get used to it. I know you can find a few piezo-equipped Teles on Reverb pretty regularly.