Telemetry is explicitly allowed in §97.111.
You must use an authorized "digital code", which probably means ASCII. And you must use a publicly documented technique. I don't see any specification in the manual of how this device works, but it's probably something simple like FSK, so no difficulty there.
§97.309 RTTY and data emission codes.
(a) Where authorized by §§97.305(c) and 97.307(f) of the part, an amateur station may transmit a RTTY or data emission using the following specified digital codes:
(1) The 5-unit, start-stop, International Telegraph Alphabet No. 2, code defined in ITU-T Recommendation F.1, Division C (commonly known as “Baudot”).
(2) The 7-unit code specified in ITU-R Recommendations M.476-5 and M.625-3 (commonly known as “AMTOR”).
(3) The 7-unit, International Alphabet No. 5, code defined in IT--T Recommendation T.50 (commonly known as “ASCII”).
(4) An amateur station transmitting a RTTY or data emission using a digital code specified in this paragraph may use any technique whose technical characteristics have been documented publicly, such as CLOVER, G-TOR, or PacTOR, for the purpose of facilitating communications.
§97.307 is where data transmissions are authorized. For the 70 cm band these two paragraphs apply, permitting just about any reasonable digital transmission. I don't see any specification of the bandwidth used by the module, so be sure it's under 100 kHz.
(6) A RTTY, data or multiplexed emission using a specified digital code listed in §97.309(a) of this part may be transmitted. The symbol rate must not exceed 56 kilobauds. A RTTY, data or multiplexed emission using an unspecified digital code under the limitations listed in §97.309(b) of this part also may be transmitted. The authorized bandwidth is 100 kHz.
(8) A RTTY or data emission having designators with A, B, C, D, E, F, G, H, J or R as the first symbol; 1, 2, 7, 9 or X as the second symbol; and D or W as the third symbol is also authorized.
I would not assume a $3.55 radio from China does not spew spurious emissions. With an amateur license you can operate uncertified equipment, but still the lack of a regulatory certification should raise suspicion.
§97.307 (c) All spurious emissions from a station transmitter must be reduced to the greatest extent practicable. If any spurious emission, including chassis or power line radiation, causes harmful interference to the reception of another radio station, the licensee of the interfering amateur station is required to take steps to eliminate the interference, in accordance with good engineering practice.
Somewhat surprisingly, it seems numbers are put to spurious emission requirements for HF equipment, and 30-225 MHz, but not above. So:
§97.101 (a) In all respects not specifically covered by FCC Rules each amateur station must be operated in accordance with good engineering and good amateur practice.
With such a low transmit power (100 mW max), there's really no excuse for spurious emissions strong enough to be detectable by your neighbors.